Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456ci |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1355935131353088 = -1 · 214 · 314 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11407,1712271] |
[a1,a2,a3,a4,a6] |
Generators |
[154:-2673:1] |
Generators of the group modulo torsion |
j |
10017976862000/82759712607 |
j-invariant |
L |
6.9323338067486 |
L(r)(E,1)/r! |
Ω |
0.35187102558192 |
Real period |
R |
0.46907973327551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456f1 6864a1 82368dy1 |
Quadratic twists by: -4 8 -3 |