Atkin-Lehner |
5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055c |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2788433968429764655 = -1 · 5 · 72 · 119 · 136 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11+ 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-390954,123690191] |
[a1,a2,a3,a4,a6] |
j |
-2802624612299/1182568205 |
j-invariant |
L |
1.4332940778668 |
L(r)(E,1)/r! |
Ω |
0.23888234642379 |
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 |
55055e2 |
Quadratic twists by: -11 |