Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478cf |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-317827171740672 = -1 · 210 · 39 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58703000,-173101860709] |
[a1,a2,a3,a4,a6] |
j |
-235484681972809299625/3345408 |
j-invariant |
L |
3.2725457915116 |
L(r)(E,1)/r! |
Ω |
0.027271214890087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826n1 71478z1 |
Quadratic twists by: -3 -19 |