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	8	Product of Tamagawa factors cp
Δ	-82992553710937500 = -1 · 22 · 3 · 518 · 72 · 37	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-9114581,-10592163939]	[a1,a2,a3,a4,a6]
Generators	[29022:497049:8]	Generators of the group modulo torsion
j	-83740170636734921311132369/82992553710937500	j-invariant
L	7.0396487655212	L(r)(E,1)/r!
Ω	0.043444555261203	Real period
R	9.0020854335632	Regulator
r	1	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	62160bi5 23310z5 38850a5 54390ce5	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7770z5

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 7770z5

-4	-3	5	-7
62160bi5	23310z5	38850a5	54390ce5

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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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