Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114224x |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1525920 |
Modular degree for the optimal curve |
Δ |
-6268141778776064 = -1 · 212 · 1110 · 59 |
Discriminant |
Eigenvalues |
2- -3 3 1 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234256,43805872] |
[a1,a2,a3,a4,a6] |
j |
-13381632/59 |
j-invariant |
L |
0.42591765165694 |
L(r)(E,1)/r! |
Ω |
0.42591807506468 |
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 |
7139a1 114224y1 |
Quadratic twists by: -4 -11 |