Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120cx |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
133816320 = 213 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3003,63338] |
[a1,a2,a3,a4,a6] |
Generators |
[31:6:1] |
Generators of the group modulo torsion |
j |
223810587/10 |
j-invariant |
L |
4.9577504252743 |
L(r)(E,1)/r! |
Ω |
1.7371092732519 |
Real period |
R |
0.71350583870878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999788469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890be1 87120dk2 87120cw1 |
Quadratic twists by: -4 -3 -11 |