Atkin-Lehner |
2+ 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550k |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
-30782031250 = -1 · 2 · 58 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 0 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4325,-111625] |
[a1,a2,a3,a4,a6] |
j |
-22912838905/78802 |
j-invariant |
L |
1.7657197815102 |
L(r)(E,1)/r! |
Ω |
0.29428663136154 |
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 |
63550ba1 |
Quadratic twists by: 5 |