Cremona's table of elliptic curves

Curve 2496j3

2496 = 26 · 3 · 13



Data for elliptic curve 2496j3

Field Data Notes
Atkin-Lehner 2+ 3- 13+ Signs for the Atkin-Lehner involutions
Class 2496j Isogeny class
Conductor 2496 Conductor
∏ cp 40 Product of Tamagawa factors cp
Δ 190120238883274752 = 222 · 320 · 13 Discriminant
Eigenvalues 2+ 3- -2  4  4 13+  2  8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-149729,-7613313] [a1,a2,a3,a4,a6]
j 1416134368422073/725251155408 j-invariant
L 2.5640326976901 L(r)(E,1)/r!
Ω 0.25640326976901 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2496u4 78a3 7488o4 62400bh3 Quadratic twists by: -4 8 -3 5


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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