Atkin-Lehner |
2- 3- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950bo |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-743437500000 = -1 · 25 · 3 · 510 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,41892] |
[a1,a2,a3,a4,a6] |
Generators |
[66:504:1] |
Generators of the group modulo torsion |
j |
-2941225/76128 |
j-invariant |
L |
14.831084272643 |
L(r)(E,1)/r! |
Ω |
0.75369564759058 |
Real period |
R |
3.9355631948779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950q1 |
Quadratic twists by: 5 |