Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840de |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
354992888217600 = 224 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21612,-820816] |
[a1,a2,a3,a4,a6] |
j |
5841725401/1857600 |
j-invariant |
L |
1.6145485079631 |
L(r)(E,1)/r! |
Ω |
0.40363706450255 |
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 |
123840fy1 3870r1 41280k1 |
Quadratic twists by: -4 8 -3 |