Atkin-Lehner |
2- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57434f |
Isogeny class |
Conductor |
57434 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
785088 |
Modular degree for the optimal curve |
Δ |
-2060343012268855808 = -1 · 29 · 132 · 478 |
Discriminant |
Eigenvalues |
2- 1 0 -4 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,313632,14128640] |
[a1,a2,a3,a4,a6] |
j |
143285375/86528 |
j-invariant |
L |
0.96286285755643 |
L(r)(E,1)/r! |
Ω |
0.16047714326672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57434e1 |
Quadratic twists by: -47 |