Atkin-Lehner |
3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22425l |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
14015625 = 3 · 56 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-476,-4027] |
[a1,a2,a3,a4,a6] |
j |
761048497/897 |
j-invariant |
L |
2.0448803356549 |
L(r)(E,1)/r! |
Ω |
1.0224401678274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67275m1 897c1 |
Quadratic twists by: -3 5 |