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	6930w	Isogeny class
Conductor	6930	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-98794080000 = -1 · 28 · 36 · 54 · 7 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,292,-15073]	[a1,a2,a3,a4,a6]
Generators	[43:253:1]	Generators of the group modulo torsion
j	3789119879/135520000	j-invariant
L	5.5971462313627	L(r)(E,1)/r!
Ω	0.51244654543556	Real period
R	0.68265001018367	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	55440dp1 770d1 34650x1 48510ds1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930w1

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	0	0	4	-2	-2	-6	-8	-12	6	6	10	-4	-8	4	-4	-16	0	6	14

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Quadratic twists for elliptic curve 6930w1

-4	-3	5	-7	-11
55440dp1	770d1	34650x1	48510ds1	76230bb1

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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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