Cremona's table of elliptic curves

6930 = 2 · 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	6930bg	Isogeny class
Conductor	6930	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	-4963823648437500000 = -1 · 25 · 37 · 512 · 74 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,414013,-31360989]	[a1,a2,a3,a4,a6]
Generators	[1481:-62616:1]	Generators of the group modulo torsion
j	10765621376623941911/6809085937500000	j-invariant
L	6.2806254849751	L(r)(E,1)/r!
Ω	0.13959007843895	Real period
R	0.37494459701887	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	55440eo3 2310a4 34650bh3 48510dh3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930bg4

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
-	-	-	+	-	-2	-2	0	-8	-2	0	-6	-6	-8	4	6	-4	-6	8	-12	-6	0	4	2	-14

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Quadratic twists for elliptic curve 6930bg4

-4	-3	5	-7	-11
55440eo3	2310a4	34650bh3	48510dh3	76230ci3

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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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