Atkin-Lehner |
2- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36050q |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
110976 |
Modular degree for the optimal curve |
Δ |
-51681280000000 = -1 · 217 · 57 · 72 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7938,439492] |
[a1,a2,a3,a4,a6] |
Generators |
[92:654:1] [-104:430:1] |
Generators of the group modulo torsion |
j |
-3540302642521/3307601920 |
j-invariant |
L |
8.8516371216038 |
L(r)(E,1)/r! |
Ω |
0.57692015099266 |
Real period |
R |
0.1128155550792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210b1 |
Quadratic twists by: 5 |