Cremona's table of elliptic curves

9114 = 2 · 3 · 7² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 31-	Signs for the Atkin-Lehner involutions
Class	9114ba	Isogeny class
Conductor	9114	Conductor
∏ cp	960	Product of Tamagawa factors cp
Δ	3014829256212071424 = 210 · 312 · 78 · 312	Discriminant
Eigenvalues	2- 3- -2 7-  0  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-429094,68708324]	[a1,a2,a3,a4,a6]
Generators	[-220:12458:1]	Generators of the group modulo torsion
j	74266483535212753/25625625854976	j-invariant
L	6.9263793245133	L(r)(E,1)/r!
Ω	0.23280537184952	Real period
R	0.49586336643114	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	72912bk2 27342o2 1302j2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 9114ba2

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

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Quadratic twists for elliptic curve 9114ba2

-4	-3	-7
72912bk2	27342o2	1302j2

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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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