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	6930s	Isogeny class
Conductor	6930	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-15496034400 = -1 · 25 · 33 · 52 · 72 · 114	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11-  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,247,5737]	[a1,a2,a3,a4,a6]
Generators	[-5:68:1]	Generators of the group modulo torsion
j	61958108493/573927200	j-invariant
L	5.7096469089453	L(r)(E,1)/r!
Ω	0.91125398188086	Real period
R	0.1566425777685	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	55440ca2 6930c2 34650f2 48510ch2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930s2

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	0	-2	-4	-10	-4	-4	6	6	6	-6	-12	0	2	2	-10	0	-16	18	-14

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Quadratic twists for elliptic curve 6930s2

-4	-3	5	-7	-11
55440ca2	6930c2	34650f2	48510ch2	76230d2

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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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