Atkin-Lehner |
2- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650be |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
4018906250000 = 24 · 510 · 172 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12563,-534383] |
[a1,a2,a3,a4,a6] |
j |
14034143923561/257210000 |
j-invariant |
L |
3.6115965155122 |
L(r)(E,1)/r! |
Ω |
0.45144957059299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130f1 |
Quadratic twists by: 5 |