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	7770j	Isogeny class
Conductor	7770	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-3191139000 = -1 · 23 · 32 · 53 · 7 · 373	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -1  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3424,-77434]	[a1,a2,a3,a4,a6]
j	-4437543642183289/3191139000	j-invariant
L	1.8723362060602	L(r)(E,1)/r!
Ω	0.31205603434336	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	62160bh2 23310bw2 38850bt2 54390m2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7770j2

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	-1	6	8	-9	-3	5	-	6	2	-3	-9	6	2	-7	15	11	-4	6	-15	8

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Quadratic twists for elliptic curve 7770j2

-4	-3	5	-7
62160bh2	23310bw2	38850bt2	54390m2

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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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