Cremona's table of elliptic curves

4880 = 2⁴ · 5 · 61

Field	Data	Notes
Atkin-Lehner	2+ 5- 61-	Signs for the Atkin-Lehner involutions
Class	4880d	Isogeny class
Conductor	4880	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	78080 = 28 · 5 · 61	Discriminant
Eigenvalues	2+ -2 5- -4  2 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-100,-420]	[a1,a2,a3,a4,a6]
Generators	[19:70:1]	Generators of the group modulo torsion
j	436334416/305	j-invariant
L	2.4313831671021	L(r)(E,1)/r!
Ω	1.5085387379979	Real period
R	3.223494506119	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2440d1 19520q1 43920p1 24400f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4880d1

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
+	-2	-	-4	2	-2	2	4	-8	6	-2	6	-2	-8	2	10	6	-	-12	6	2	14	-6	-14	2

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Quadratic twists for elliptic curve 4880d1

-4	8	-3	5
2440d1	19520q1	43920p1	24400f1

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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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