Atkin-Lehner |
2- 3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450co |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
375 |
Product of Tamagawa factors cp |
deg |
414000 |
Modular degree for the optimal curve |
Δ |
-297766902988800 = -1 · 215 · 35 · 52 · 75 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28203,2000817] |
[a1,a2,a3,a4,a6] |
j |
-99236305654998745/11910676119552 |
j-invariant |
L |
7.9595518792413 |
L(r)(E,1)/r! |
Ω |
0.53063678682673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
93450k2 |
Quadratic twists by: 5 |