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	648	Product of Tamagawa factors cp
Δ	-160900419519000000 = -1 · 26 · 33 · 56 · 76 · 373	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-85841,-21597975]	[a1,a2,a3,a4,a6]
Generators	[628:12811:1]	Generators of the group modulo torsion
j	-69953320343800203409/160900419519000000	j-invariant
L	7.0396487655212	L(r)(E,1)/r!
Ω	0.13033366578361	Real period
R	3.0006951445211	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	62160bi3 23310z3 38850a3 54390ce3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7770z3

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 7770z3

-4	-3	5	-7
62160bi3	23310z3	38850a3	54390ce3

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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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