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	6930ba	Isogeny class
Conductor	6930	Conductor
∏ cp	1728	Product of Tamagawa factors cp
Δ	2187934777222286400 = 26 · 38 · 52 · 76 · 116	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-455648,94718531]	[a1,a2,a3,a4,a6]
Generators	[-735:6037:1]	Generators of the group modulo torsion
j	14351050585434661561/3001282273281600	j-invariant
L	5.9705527347848	L(r)(E,1)/r!
Ω	0.24604678900059	Real period
R	2.0221603510984	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	12	Number of elements in the torsion subgroup
Twists	55440cq6 2310l6 34650q6 48510eg6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930ba6

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

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Quadratic twists for elliptic curve 6930ba6

-4	-3	5	-7	-11
55440cq6	2310l6	34650q6	48510eg6	76230s6

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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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