Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
123708j |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
2077920 |
Modular degree for the optimal curve |
Δ |
-1.1423927990608E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-611498,-245804103] |
[a1,a2,a3,a4,a6] |
j |
-1937504608000/875283327 |
j-invariant |
L |
1.2531035308115 |
L(r)(E,1)/r! |
Ω |
0.083540138503811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123708i1 |
Quadratic twists by: 13 |