Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ev |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
1117216911576268800 = 220 · 37 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392403,79782802] |
[a1,a2,a3,a4,a6] |
Generators |
[-679:5760:1] [-418:13068:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
9.4278228273422 |
L(r)(E,1)/r! |
Ω |
0.26270716079928 |
Real period |
R |
2.2429496209094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890q1 29040dq1 7920be1 |
Quadratic twists by: -4 -3 -11 |