Cremona's table of elliptic curves

Curve 92736x2

92736 = 26 · 32 · 7 · 23



Data for elliptic curve 92736x2

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 23- Signs for the Atkin-Lehner involutions
Class 92736x Isogeny class
Conductor 92736 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ 216677958903447552 = 214 · 39 · 74 · 234 Discriminant
Eigenvalues 2+ 3+ -4 7-  0 -2  4 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-1363932,612699120] [a1,a2,a3,a4,a6]
Generators [-582:34776:1] Generators of the group modulo torsion
j 870143011569648/671898241 j-invariant
L 4.3761132451993 L(r)(E,1)/r!
Ω 0.31292721644187 Real period
R 0.43701388559257 Regulator
r 1 Rank of the group of rational points
S 1.000000001079 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 92736cz2 5796d2 92736q2 Quadratic twists by: -4 8 -3


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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