Atkin-Lehner |
2- 3- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125136o |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
456688336896 = 216 · 36 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11+ -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,17242] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:176:1] |
Generators of the group modulo torsion |
j |
338608873/152944 |
j-invariant |
L |
10.20937440731 |
L(r)(E,1)/r! |
Ω |
0.84115621751395 |
Real period |
R |
3.0343276887469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15642j1 13904h1 |
Quadratic twists by: -4 -3 |