Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360hh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2623488 |
Modular degree for the optimal curve |
Δ |
3854181240000 = 26 · 32 · 54 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14274720,20753911818] |
[a1,a2,a3,a4,a6] |
j |
5026278670516962232657984/60221581875 |
j-invariant |
L |
5.547628415795 |
L(r)(E,1)/r! |
Ω |
0.39625917414596 |
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 |
87360fh1 43680bg2 |
Quadratic twists by: -4 8 |