Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dn |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
1636652607319572480 = 237 · 39 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1096227,-437463774] |
[a1,a2,a3,a4,a6] |
j |
14934427706187/167772160 |
j-invariant |
L |
4.7246456727942 |
L(r)(E,1)/r! |
Ω |
0.14764517705586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890i1 87120da1 87120dp1 |
Quadratic twists by: -4 -3 -11 |