Cremona's table of elliptic curves

92352 = 2⁶ · 3 · 13 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 37-	Signs for the Atkin-Lehner involutions
Class	92352bn	Isogeny class
Conductor	92352	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1986560	Modular degree for the optimal curve
Δ	113972933320828608 = 26 · 3 · 132 · 378	Discriminant
Eigenvalues	2- 3+  0 -2 -4 13+  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8121368,-8905518402]	[a1,a2,a3,a4,a6]
Generators	[14799521:1503129440:1331]	Generators of the group modulo torsion
j	925617083313029149288000/1780827083137947	j-invariant
L	3.9674227217662	L(r)(E,1)/r!
Ω	0.089431868152118	Real period
R	11.09062911268	Regulator
r	1	Rank of the group of rational points
S	0.9999999999116	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	92352cd1 46176k2	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 92352bn1

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

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Quadratic twists for elliptic curve 92352bn1

-4	8
92352cd1	46176k2

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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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