Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150cj |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
73497600 |
Modular degree for the optimal curve |
Δ |
3.2415967559873E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2166416438,38810649908531] |
[a1,a2,a3,a4,a6] |
Generators |
[26865:-11633:1] |
Generators of the group modulo torsion |
j |
143861813219395321/4147200 |
j-invariant |
L |
8.35197693161 |
L(r)(E,1)/r! |
Ω |
0.085476819096985 |
Real period |
R |
2.2206916377023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230n1 126150bb1 |
Quadratic twists by: 5 29 |