Atkin-Lehner |
3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42135c |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2289600 |
Modular degree for the optimal curve |
Δ |
5.9098065507659E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -1 -5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4705133,1321494198] |
[a1,a2,a3,a4,a6] |
j |
185025936889/94921875 |
j-invariant |
L |
0.71257502459095 |
L(r)(E,1)/r! |
Ω |
0.11876250412014 |
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 |
126405w1 42135j1 |
Quadratic twists by: -3 53 |