Atkin-Lehner |
2- 3- 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990cj |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
3618816 |
Modular degree for the optimal curve |
Δ |
-5112841675344445440 = -1 · 219 · 314 · 5 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1000472,-399991269] |
[a1,a2,a3,a4,a6] |
Generators |
[1325:23817:1] |
Generators of the group modulo torsion |
j |
-151918475199106965049/7013500240527360 |
j-invariant |
L |
14.763068052459 |
L(r)(E,1)/r! |
Ω |
0.075274704847571 |
Real period |
R |
1.7203733588975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330a1 |
Quadratic twists by: -3 |