Atkin-Lehner |
2- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
25460a |
Isogeny class |
Conductor |
25460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-1209350000 = -1 · 24 · 55 · 192 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 2 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,214,-1235] |
[a1,a2,a3,a4,a6] |
Generators |
[42:19:8] |
Generators of the group modulo torsion |
j |
67423928576/75584375 |
j-invariant |
L |
4.5463311300093 |
L(r)(E,1)/r! |
Ω |
0.82895497543949 |
Real period |
R |
2.7422063107824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101840m1 127300a1 |
Quadratic twists by: -4 5 |