Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ex |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
113784766267392000 = 219 · 315 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 11- -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123123,3622322] |
[a1,a2,a3,a4,a6] |
j |
571305535801/314928000 |
j-invariant |
L |
2.3126772421875 |
L(r)(E,1)/r! |
Ω |
0.28908466591559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890r1 29040cs1 87120ey1 |
Quadratic twists by: -4 -3 -11 |