Atkin-Lehner |
2+ 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906n |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-376779810575121408 = -1 · 210 · 32 · 76 · 134 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-252572,57067994] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:9262:1] |
Generators of the group modulo torsion |
j |
-15145674183260713/3202575547392 |
j-invariant |
L |
4.8479473345141 |
L(r)(E,1)/r! |
Ω |
0.28826092174825 |
Real period |
R |
4.2044784518449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794b1 |
Quadratic twists by: -7 |