Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782a |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-93672320626612 = -1 · 22 · 78 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6281,505105] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-583:1] |
Generators of the group modulo torsion |
j |
-4754060073/16249012 |
j-invariant |
L |
5.3237521950826 |
L(r)(E,1)/r! |
Ω |
0.52715760798162 |
Real period |
R |
0.84158135922294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782k1 |
Quadratic twists by: -7 |