Cremona's table of elliptic curves

7770 = 2 · 3 · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 37-	Signs for the Atkin-Lehner involutions
Class	7770be	Isogeny class
Conductor	7770	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	1703964729600 = 28 · 34 · 52 · 74 · 372	Discriminant
Eigenvalues	2- 3- 5- 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3065,-18183]	[a1,a2,a3,a4,a6]
j	3184373525452561/1703964729600	j-invariant
L	5.459173066085	L(r)(E,1)/r!
Ω	0.68239663326063	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	62160bt2 23310p2 38850c2 54390bq2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7770be2

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
-	-	-	-	4	-2	2	-4	8	6	-8	-	10	4	0	-2	-12	-10	-12	0	-14	8	4	10	-14

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Quadratic twists for elliptic curve 7770be2

-4	-3	5	-7
62160bt2	23310p2	38850c2	54390bq2

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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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