Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bh |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
3573724132265625 = 36 · 57 · 137 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38817,-616784] |
[a1,a2,a3,a4,a6] |
j |
117649/65 |
j-invariant |
L |
1.4565939497724 |
L(r)(E,1)/r! |
Ω |
0.36414848743567 |
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 |
4225b1 7605j1 2925k1 |
Quadratic twists by: -3 5 13 |