Cremona's table of elliptic curves

Curve 62400cs6

62400 = 26 · 3 · 52 · 13



Data for elliptic curve 62400cs6

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 13- Signs for the Atkin-Lehner involutions
Class 62400cs Isogeny class
Conductor 62400 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 2433600000000000000 = 218 · 32 · 514 · 132 Discriminant
Eigenvalues 2+ 3- 5+  0 -4 13- -2  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-13000033,-18045351937] [a1,a2,a3,a4,a6]
Generators [-2078:237:1] Generators of the group modulo torsion
j 59319456301170001/594140625 j-invariant
L 7.0231348377261 L(r)(E,1)/r!
Ω 0.079508525452263 Real period
R 5.5207403845317 Regulator
r 1 Rank of the group of rational points
S 3.9999999998087 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 62400ep6 975a5 12480a5 Quadratic twists by: -4 8 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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