Atkin-Lehner |
2- 3- 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bn |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
833280 |
Modular degree for the optimal curve |
Δ |
-44107689375000 = -1 · 23 · 37 · 57 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 2 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-281012,-57267601] |
[a1,a2,a3,a4,a6] |
Generators |
[807:15121:1] |
Generators of the group modulo torsion |
j |
-3366428017431274489/60504375000 |
j-invariant |
L |
13.821036285587 |
L(r)(E,1)/r! |
Ω |
0.10367833042394 |
Real period |
R |
1.5869868270685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42090g1 |
Quadratic twists by: -3 |