Atkin-Lehner |
2+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5168b |
Isogeny class |
Conductor |
5168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
6284288 = 210 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 2 4 -2 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,128] |
[a1,a2,a3,a4,a6] |
j |
19307236/6137 |
j-invariant |
L |
4.4046124958322 |
L(r)(E,1)/r! |
Ω |
2.2023062479161 |
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 |
2584b1 20672bh1 46512c1 129200d1 |
Quadratic twists by: -4 8 -3 5 |