Cremona's table of elliptic curves

64980 = 2² · 3² · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	64980i	Isogeny class
Conductor	64980	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-2000084400 = -1 · 24 · 36 · 52 · 193	Discriminant
Eigenvalues	2- 3- 5+  0  4  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-228,-2527]	[a1,a2,a3,a4,a6]
Generators	[38:209:1]	Generators of the group modulo torsion
j	-16384/25	j-invariant
L	6.7800565896677	L(r)(E,1)/r!
Ω	0.58282824523611	Real period
R	1.9388377979517	Regulator
r	1	Rank of the group of rational points
S	1.0000000000298	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7220f1 64980j1	Quadratic twists by: -3 -19

Hecke Eigenvalues for elliptic curve 64980i1

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
-	-	+	0	4	2	2	+	0	4	-8	2	12	4	0	-6	4	-6	-10	0	-2	-4	-12	-12	6

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Quadratic twists for elliptic curve 64980i1

-3	-19
7220f1	64980j1

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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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