Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786l |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-178695883158624 = -1 · 25 · 37 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 3 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6939,601717] |
[a1,a2,a3,a4,a6] |
Generators |
[6766:194347:8] |
Generators of the group modulo torsion |
j |
95806719167/463373664 |
j-invariant |
L |
5.320250507399 |
L(r)(E,1)/r! |
Ω |
0.40942428220709 |
Real period |
R |
3.2486168824799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999366541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41262q1 123786n1 |
Quadratic twists by: -3 -23 |