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	24	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	1584459455040 = 26 · 312 · 5 · 7 · 113	Discriminant
Eigenvalues	2- 3- 5- 7- 11+ -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-8087,-271249]	[a1,a2,a3,a4,a6]
Generators	[-51:106:1]	Generators of the group modulo torsion
j	80224711835689/2173469760	j-invariant
L	6.4437524575838	L(r)(E,1)/r!
Ω	0.5042841053956	Real period
R	2.1296700241784	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	55440ei1 2310i1 34650l1 48510cy1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930bh1

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 6930bh1

-4	-3	5	-7	-11
55440ei1	2310i1	34650l1	48510cy1	76230bv1

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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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