Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bi |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
53894323372032 = 230 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68289,6836895] |
[a1,a2,a3,a4,a6] |
j |
134351465835313/205590528 |
j-invariant |
L |
3.7763213855989 |
L(r)(E,1)/r! |
Ω |
0.62938689759981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456bo1 858e1 82368bh1 |
Quadratic twists by: -4 8 -3 |