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	6930bh	Isogeny class
Conductor	6930	Conductor
∏ cp	648	Product of Tamagawa factors cp
Δ	811160469504000 = 218 · 38 · 53 · 73 · 11	Discriminant
Eigenvalues	2- 3- 5- 7- 11+ -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-83822,9260669]	[a1,a2,a3,a4,a6]
Generators	[-231:4147:1]	Generators of the group modulo torsion
j	89343998142858649/1112702976000	j-invariant
L	6.4437524575838	L(r)(E,1)/r!
Ω	0.5042841053956	Real period
R	0.70989000805947	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	55440ei3 2310i3 34650l3 48510cy3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930bh3

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

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Quadratic twists for elliptic curve 6930bh3

-4	-3	5	-7	-11
55440ei3	2310i3	34650l3	48510cy3	76230bv3

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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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