Atkin-Lehner |
2- 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126ba |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
3750 |
Product of Tamagawa factors cp |
deg |
1800000 |
Modular degree for the optimal curve |
Δ |
-6.6144698135255E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,969090,-1181569212] |
[a1,a2,a3,a4,a6] |
Generators |
[864:16914:1] |
Generators of the group modulo torsion |
j |
100650519427807568489759/661446981352551776256 |
j-invariant |
L |
12.144014460756 |
L(r)(E,1)/r! |
Ω |
0.08065664019235 |
Real period |
R |
1.0037623215147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
126378t1 |
Quadratic twists by: -3 |