Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11322ba |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-1.0670684542796E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 0 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11077529,-21172464903] |
[a1,a2,a3,a4,a6] |
Generators |
[4619:159528:1] |
Generators of the group modulo torsion |
j |
-206217175431046614741577/146374273563726011904 |
j-invariant |
L |
5.2695818053676 |
L(r)(E,1)/r! |
Ω |
0.040122529227382 |
Real period |
R |
0.5211794797801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576cc1 3774f1 |
Quadratic twists by: -4 -3 |