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	6930u	Isogeny class
Conductor	6930	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-9699782400 = -1 · 28 · 39 · 52 · 7 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-677,-8099]	[a1,a2,a3,a4,a6]
j	-1740992427/492800	j-invariant
L	3.6900891440677	L(r)(E,1)/r!
Ω	0.46126114300846	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	55440ci1 6930b1 34650a1 48510cb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930u1

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	2	-4	2	-6	2	10	8	4	-4	2	12	10	-4	8	14	-2	2	10	-8

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Quadratic twists for elliptic curve 6930u1

-4	-3	5	-7	-11
55440ci1	6930b1	34650a1	48510cb1	76230h1

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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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