Atkin-Lehner |
2+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118490d |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-46904993033284000 = -1 · 25 · 53 · 178 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 3 -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,82600,4988000] |
[a1,a2,a3,a4,a6] |
j |
8934485031/6724000 |
j-invariant |
L |
1.3747823564642 |
L(r)(E,1)/r! |
Ω |
0.2291304177539 |
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 |
118490g1 |
Quadratic twists by: 17 |