Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225cb |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
15817306640625 = 37 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259992,51090291] |
[a1,a2,a3,a4,a6] |
Generators |
[618:10923:1] |
Generators of the group modulo torsion |
j |
1365045221357/11109 |
j-invariant |
L |
6.3055472227832 |
L(r)(E,1)/r! |
Ω |
0.6267806080797 |
Real period |
R |
5.0301071391643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12075w1 36225cj1 |
Quadratic twists by: -3 5 |