Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350ce |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
153641600000000000 = 216 · 511 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-175938,-21313969] |
[a1,a2,a3,a4,a6] |
j |
5619814620139/1433600000 |
j-invariant |
L |
3.7998965320974 |
L(r)(E,1)/r! |
Ω |
0.2374936178115 |
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 |
25270k1 126350h1 |
Quadratic twists by: 5 -19 |