Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fa |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3290112 |
Modular degree for the optimal curve |
Δ |
-1.3281883553359E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187258,-553651563] |
[a1,a2,a3,a4,a6] |
Generators |
[102505:1483959:125] |
Generators of the group modulo torsion |
j |
20329346580026519/3718228368007296 |
j-invariant |
L |
11.92529577641 |
L(r)(E,1)/r! |
Ω |
0.08714610471136 |
Real period |
R |
2.4436170745297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042w1 126126eh1 |
Quadratic twists by: -3 -7 |