Cremona's table of elliptic curves

Curve 87464b2

87464 = 23 · 13 · 292



Data for elliptic curve 87464b2

Field Data Notes
Atkin-Lehner 2+ 13+ 29- Signs for the Atkin-Lehner involutions
Class 87464b Isogeny class
Conductor 87464 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 2510548653999985664 = 210 · 132 · 299 Discriminant
Eigenvalues 2+ -2 -2  4  0 13+  0  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-625984,-174933264] [a1,a2,a3,a4,a6]
j 1826132/169 j-invariant
L 1.3658888394139 L(r)(E,1)/r!
Ω 0.17073611048825 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 87464c2 Quadratic twists by: 29


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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