Atkin-Lehner |
3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42135b |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34618752 |
Modular degree for the optimal curve |
Δ |
1.8844281018874E+27 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -4 0 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1475470321,21714707659851] |
[a1,a2,a3,a4,a6] |
j |
5705690236075638784/30267225703125 |
j-invariant |
L |
0.094184606375533 |
L(r)(E,1)/r! |
Ω |
0.047092303142243 |
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 |
126405v1 42135i1 |
Quadratic twists by: -3 53 |