Atkin-Lehner |
5- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120785h |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
184032 |
Modular degree for the optimal curve |
Δ |
1240066379125 = 53 · 74 · 173 · 292 |
Discriminant |
Eigenvalues |
0 1 5- 7+ -6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4475,100531] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2461:8] |
Generators of the group modulo torsion |
j |
4128646660096/516479125 |
j-invariant |
L |
4.7074271028291 |
L(r)(E,1)/r! |
Ω |
0.8321852741321 |
Real period |
R |
0.94278426173476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057429 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120785a1 |
Quadratic twists by: -7 |