Atkin-Lehner |
2- 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650bf |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-62265396800000000 = -1 · 212 · 58 · 173 · 892 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -4 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36362,-11702108] |
[a1,a2,a3,a4,a6] |
j |
13611507236735/159399415808 |
j-invariant |
L |
4.1295850153584 |
L(r)(E,1)/r! |
Ω |
0.17206604387477 |
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 |
75650i1 |
Quadratic twists by: 5 |