Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138w |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1231200 |
Modular degree for the optimal curve |
Δ |
72916855921842498 = 2 · 33 · 198 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 5 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-434832,-109778577] |
[a1,a2,a3,a4,a6] |
j |
535376689633/4293378 |
j-invariant |
L |
4.6501739905046 |
L(r)(E,1)/r! |
Ω |
0.18600696643496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93138p1 |
Quadratic twists by: -19 |