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	256	Product of Tamagawa factors cp
Δ	-111955663708560 = -1 · 24 · 38 · 5 · 78 · 37	Discriminant
Eigenvalues	2- 3- 5- 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,11735,-139543]	[a1,a2,a3,a4,a6]
j	178718981548166639/111955663708560	j-invariant
L	5.459173066085	L(r)(E,1)/r!
Ω	0.34119831663031	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	62160bt3 23310p3 38850c3 54390bq3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7770be4

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 7770be4

-4	-3	5	-7
62160bt3	23310p3	38850c3	54390bq3

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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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