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	6930be	Isogeny class
Conductor	6930	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	200704	Modular degree for the optimal curve
Δ	1812464899121479680 = 228 · 313 · 5 · 7 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11+  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1785767,916672479]	[a1,a2,a3,a4,a6]
j	863913648706111516969/2486234429521920	j-invariant
L	3.7127171354835	L(r)(E,1)/r!
Ω	0.26519408110596	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	55440ex1 2310b1 34650bc1 48510dc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930be1

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

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Quadratic twists for elliptic curve 6930be1

-4	-3	5	-7	-11
55440ex1	2310b1	34650bc1	48510dc1	76230cq1

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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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