Cremona's table of elliptic curves

3220 = 2² · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 23-	Signs for the Atkin-Lehner involutions
Class	3220d	Isogeny class
Conductor	3220	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-96585372143750000 = -1 · 24 · 58 · 74 · 235	Discriminant
Eigenvalues	2-  1 5- 7- -2 -1 -8  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,102230,8114725]	[a1,a2,a3,a4,a6]
Generators	[645:18515:1]	Generators of the group modulo torsion
j	7384729019637956864/6036585758984375	j-invariant
L	4.1020822277095	L(r)(E,1)/r!
Ω	0.21791254064717	Real period
R	0.11765276953333	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12880v1 51520p1 28980c1 16100a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3220d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	1	-	-	-2	-1	-8	2	-	1	-7	10	-5	-8	-3	-10	-8	-2	-2	5	9	-10	-12	12	-8

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Quadratic twists for elliptic curve 3220d1

-4	8	-3	5	-7	-23
12880v1	51520p1	28980c1	16100a1	22540h1	74060b1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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