Atkin-Lehner |
3- 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55341h |
Isogeny class |
Conductor |
55341 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-58274073 = -1 · 36 · 11 · 132 · 43 |
Discriminant |
Eigenvalues |
1 3- -2 4 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,57,314] |
[a1,a2,a3,a4,a6] |
j |
27818127/79937 |
j-invariant |
L |
2.7836724466778 |
L(r)(E,1)/r! |
Ω |
1.3918362225369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6149b1 |
Quadratic twists by: -3 |