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	6930t	Isogeny class
Conductor	6930	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-25759641600 = -1 · 212 · 33 · 52 · 7 · 113	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11-  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,262,7481]	[a1,a2,a3,a4,a6]
j	73929353373/954060800	j-invariant
L	3.5244645237392	L(r)(E,1)/r!
Ω	0.88111613093481	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	55440bt1 6930e3 34650b1 48510ci1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930t1

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	6	-6	2	2	-12	8	12	-6	12	-10	-4	-12	2	-10	18	6	8

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Quadratic twists for elliptic curve 6930t1

-4	-3	5	-7	-11
55440bt1	6930e3	34650b1	48510ci1	76230b1

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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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