Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798bp |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-56179656 = -1 · 23 · 37 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 6 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2021,-34459] |
[a1,a2,a3,a4,a6] |
j |
-7406396257/456 |
j-invariant |
L |
4.2724246505496 |
L(r)(E,1)/r! |
Ω |
0.35603538748083 |
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 |
19266k1 57798l1 |
Quadratic twists by: -3 13 |