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	6930v	Isogeny class
Conductor	6930	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	14336	Modular degree for the optimal curve
Δ	149022720000 = 214 · 33 · 54 · 72 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-20927,1170279]	[a1,a2,a3,a4,a6]
Generators	[147:-1194:1]	Generators of the group modulo torsion
j	37537160298467283/5519360000	j-invariant
L	6.514328659669	L(r)(E,1)/r!
Ω	0.99390602979599	Real period
R	0.11704053905173	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	55440ce1 6930a1 34650d1 48510ce1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930v1

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

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Quadratic twists for elliptic curve 6930v1

-4	-3	5	-7	-11
55440ce1	6930a1	34650d1	48510ce1	76230k1

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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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