Atkin-Lehner |
3- 5+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825w |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-195183675 = -1 · 35 · 52 · 192 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-113,779] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:28:1] [26:167:8] |
Generators of the group modulo torsion |
j |
-6439567360/7807347 |
j-invariant |
L |
11.369027388193 |
L(r)(E,1)/r! |
Ω |
1.6191254684941 |
Real period |
R |
0.70217087004637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825j1 |
Quadratic twists by: 5 |