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	6930q	Isogeny class
Conductor	6930	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-56039583461400 = -1 · 23 · 39 · 52 · 76 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7- 11- -4  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,6831,285525]	[a1,a2,a3,a4,a6]
Generators	[-9:477:1]	Generators of the group modulo torsion
j	48351870250991/76871856600	j-invariant
L	3.3766826587998	L(r)(E,1)/r!
Ω	0.42799370292971	Real period
R	0.32873173091155	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	55440ed2 2310u2 34650dd2 48510bc2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930q2

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
+	-	-	-	-	-4	0	8	-6	-6	-4	8	-6	-4	-12	-6	12	-10	-10	0	14	8	0	12	-10

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Quadratic twists for elliptic curve 6930q2

-4	-3	5	-7	-11
55440ed2	2310u2	34650dd2	48510bc2	76230eo2

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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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