Atkin-Lehner |
2- 3- 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bx |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-4252545000000000 = -1 · 29 · 32 · 510 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,37487,-1424983] |
[a1,a2,a3,a4,a6] |
Generators |
[38:215:1] |
Generators of the group modulo torsion |
j |
596574935975/435460608 |
j-invariant |
L |
16.334889969157 |
L(r)(E,1)/r! |
Ω |
0.24568887790087 |
Real period |
R |
3.6936710156366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150j1 |
Quadratic twists by: 5 |