Atkin-Lehner |
2- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125800k |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-232730000000000 = -1 · 210 · 510 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 4 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9792,-628912] |
[a1,a2,a3,a4,a6] |
Generators |
[45976:604876:343] |
Generators of the group modulo torsion |
j |
10382300/23273 |
j-invariant |
L |
7.3644878660359 |
L(r)(E,1)/r! |
Ω |
0.28921424462042 |
Real period |
R |
6.3659449818096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125800e1 |
Quadratic twists by: 5 |