Atkin-Lehner |
3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48555i |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
-38092683732874875 = -1 · 324 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-85008,13385988] |
[a1,a2,a3,a4,a6] |
j |
-93191344935141376/52253338453875 |
j-invariant |
L |
0.67695604899942 |
L(r)(E,1)/r! |
Ω |
0.33847802450366 |
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 |
16185g1 |
Quadratic twists by: -3 |