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	6930p	Isogeny class
Conductor	6930	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-3098182348800 = -1 · 212 · 36 · 52 · 73 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7- 11- -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-504,-84672]	[a1,a2,a3,a4,a6]
Generators	[112:1064:1]	Generators of the group modulo torsion
j	-19443408769/4249907200	j-invariant
L	3.3079669367259	L(r)(E,1)/r!
Ω	0.35666244349255	Real period
R	0.77289862283911	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	55440ec1 770f1 34650dc1 48510bb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930p1

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	0	-4	0	6	-10	2	12	-4	-6	6	6	-4	-4	-12	-4	8	-12	-18	-10

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Quadratic twists for elliptic curve 6930p1

-4	-3	5	-7	-11
55440ec1	770f1	34650dc1	48510bb1	76230en1

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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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