Cremona's table of elliptic curves

Curve 115600j2

115600 = 24 · 52 · 172



Data for elliptic curve 115600j2

Field Data Notes
Atkin-Lehner 2+ 5+ 17+ Signs for the Atkin-Lehner involutions
Class 115600j Isogeny class
Conductor 115600 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 1897406023952000000 = 210 · 56 · 179 Discriminant
Eigenvalues 2+ -2 5+  2 -2  2 17+  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-2661208,1668759588] [a1,a2,a3,a4,a6]
Generators [914:896:1] Generators of the group modulo torsion
j 1098500 j-invariant
L 5.0749898949271 L(r)(E,1)/r!
Ω 0.26167527733311 Real period
R 4.8485569054751 Regulator
r 1 Rank of the group of rational points
S 1.0000000006512 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 57800v2 4624b2 115600h2 Quadratic twists by: -4 5 17


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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