Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gt |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-5.2712697068296E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-196769,1105187185] |
[a1,a2,a3,a4,a6] |
Generators |
[685:35594:1] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
13.696522246161 |
L(r)(E,1)/r! |
Ω |
0.1333026602467 |
Real period |
R |
2.1405740389279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11858i1 15246bv1 9702w1 |
Quadratic twists by: -3 -7 -11 |