Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114224v |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2557440 |
Modular degree for the optimal curve |
Δ |
-1852461588523515904 = -1 · 242 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 2 3 -4 11- -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19496,-65481744] |
[a1,a2,a3,a4,a6] |
j |
1653456090143/3737695289344 |
j-invariant |
L |
1.9593259292329 |
L(r)(E,1)/r! |
Ω |
0.12245795621297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278c1 114224u1 |
Quadratic twists by: -4 -11 |