Cremona's table of elliptic curves

102312 = 2³ · 3² · 7² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 29-	Signs for the Atkin-Lehner involutions
Class	102312bk	Isogeny class
Conductor	102312	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1.7379207022129E+19	Discriminant
Eigenvalues	2- 3-  0 7-  0 -4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-15773835,24112321702]	[a1,a2,a3,a4,a6]
Generators	[23874:481081:8]	Generators of the group modulo torsion
j	2471097448795250/98942809	j-invariant
L	5.7988170164679	L(r)(E,1)/r!
Ω	0.20536982837131	Real period
R	7.0589933587989	Regulator
r	1	Rank of the group of rational points
S	0.99999999968696	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11368g2 14616o2	Quadratic twists by: -3 -7

Hecke Eigenvalues for elliptic curve 102312bk2

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
-	-	0	-	0	-4	2	-6	0	-	0	2	10	-8	8	-6	10	12	-12	-8	-14	0	2	-10	14

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Quadratic twists for elliptic curve 102312bk2

-3	-7
11368g2	14616o2

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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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