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	6930ba	Isogeny class
Conductor	6930	Conductor
∏ cp	432	Product of Tamagawa factors cp
Δ	552096094556160 = 212 · 310 · 5 · 73 · 113	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-429728,108528707]	[a1,a2,a3,a4,a6]
Generators	[-483:14497:1]	Generators of the group modulo torsion
j	12038605770121350841/757333463040	j-invariant
L	5.9705527347848	L(r)(E,1)/r!
Ω	0.49209357800119	Real period
R	1.0110801755492	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	55440cq3 2310l3 34650q3 48510eg3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930ba3

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	-6	-4	0	-6	-4	2	-6	-4	0	-6	0	2	-4	0	2	8	-12	-6	2

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Quadratic twists for elliptic curve 6930ba3

-4	-3	5	-7	-11
55440cq3	2310l3	34650q3	48510eg3	76230s3

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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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