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	6930z	Isogeny class
Conductor	6930	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	246678222656250 = 2 · 38 · 512 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11- -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-69458,-6987769]	[a1,a2,a3,a4,a6]
j	50834334659676121/338378906250	j-invariant
L	2.3536053910203	L(r)(E,1)/r!
Ω	0.29420067387753	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	55440do3 2310k4 34650bn3 48510ej3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930z3

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
-	-	+	+	-	-6	2	0	-8	6	-8	10	10	-4	12	-2	12	-2	8	8	6	-4	-4	6	6

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Quadratic twists for elliptic curve 6930z3

-4	-3	5	-7	-11
55440do3	2310k4	34650bn3	48510ej3	76230bk3

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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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