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	16	Product of Tamagawa factors cp
Δ	-253831891113281250 = -1 · 2 · 39 · 512 · 74 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-115043,-28486843]	[a1,a2,a3,a4,a6]
Generators	[5354790:388315747:1000]	Generators of the group modulo torsion
j	-230979395175477481/348191894531250	j-invariant
L	5.9705527347848	L(r)(E,1)/r!
Ω	0.1230233945003	Real period
R	12.13296210659	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	55440cq4 2310l5 34650q4 48510eg4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930ba5

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 6930ba5

-4	-3	5	-7	-11
55440cq4	2310l5	34650q4	48510eg4	76230s4

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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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