Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135g |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
126405 = 32 · 5 · 532 |
Discriminant |
Eigenvalues |
0 3- 5- 0 4 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35,-91] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
1736704/45 |
j-invariant |
L |
7.160323451069 |
L(r)(E,1)/r! |
Ω |
1.9612815447837 |
Real period |
R |
1.825419575816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405i1 42135a1 |
Quadratic twists by: -3 53 |