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	96	Product of Tamagawa factors cp
Δ	-341722424597400 = -1 · 23 · 39 · 52 · 72 · 116	Discriminant
Eigenvalues	2- 3- 5- 7- 11+ -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1633,-889441]	[a1,a2,a3,a4,a6]
Generators	[117:886:1]	Generators of the group modulo torsion
j	661003929431/468755040600	j-invariant
L	6.4437524575838	L(r)(E,1)/r!
Ω	0.2521420526978	Real period
R	1.0648350120892	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	55440ei2 2310i2 34650l2 48510cy2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930bh2

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 6930bh2

-4	-3	5	-7	-11
55440ei2	2310i2	34650l2	48510cy2	76230bv2

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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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