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	7770z	Isogeny class
Conductor	7770	Conductor
∏ cp	324	Product of Tamagawa factors cp
Δ	9504385397982720 = 29 · 318 · 5 · 7 · 372	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-80401,7409321]	[a1,a2,a3,a4,a6]
Generators	[80:1181:1]	Generators of the group modulo torsion
j	57478893731908015249/9504385397982720	j-invariant
L	7.0396487655212	L(r)(E,1)/r!
Ω	0.39100099735083	Real period
R	2.0004634296807	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	62160bi2 23310z2 38850a2 54390ce2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7770z2

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	-6	2	0	-6	-4	-	0	-10	6	-6	0	-10	-4	-6	2	-10	0	18	-10

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Quadratic twists for elliptic curve 7770z2

-4	-3	5	-7
62160bi2	23310z2	38850a2	54390ce2

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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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