Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bh |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-282996240384 = -1 · 212 · 3 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3497,82455] |
[a1,a2,a3,a4,a6] |
j |
-1154981015488/69090879 |
j-invariant |
L |
5.7702979900779 |
L(r)(E,1)/r! |
Ω |
0.96171633167979 |
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 |
27456i1 13728b1 82368bi1 |
Quadratic twists by: -4 8 -3 |