Cremona's table of elliptic curves

Curve 15456l3

15456 = 25 · 3 · 7 · 23



Data for elliptic curve 15456l3

Field Data Notes
Atkin-Lehner 2- 3+ 7+ 23- Signs for the Atkin-Lehner involutions
Class 15456l Isogeny class
Conductor 15456 Conductor
∏ cp 2 Product of Tamagawa factors cp
Δ 540836352 = 29 · 38 · 7 · 23 Discriminant
Eigenvalues 2- 3+ -2 7+ -4 -2  6 -4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-1744,28600] [a1,a2,a3,a4,a6]
Generators [41:156:1] Generators of the group modulo torsion
j 1146415874696/1056321 j-invariant
L 2.810345853458 L(r)(E,1)/r!
Ω 1.6339816577673 Real period
R 3.439874419763 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 15456t2 30912ca4 46368l4 108192ce4 Quadratic twists by: -4 8 -3 -7


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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