Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bm |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
26613056250000 = 24 · 38 · 58 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13838,569531] |
[a1,a2,a3,a4,a6] |
j |
18755369578009/1703235600 |
j-invariant |
L |
5.2057927709905 |
L(r)(E,1)/r! |
Ω |
0.65072409143297 |
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 |
19470k1 |
Quadratic twists by: 5 |