Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570o |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
12046614800 = 24 · 52 · 116 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,-9228] |
[a1,a2,a3,a4,a6] |
j |
47045881/6800 |
j-invariant |
L |
3.510463997646 |
L(r)(E,1)/r! |
Ω |
0.87761599941151 |
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 |
102850v1 170a1 |
Quadratic twists by: 5 -11 |