Atkin-Lehner |
2+ 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434y |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-504908316 = -1 · 22 · 39 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178866,-29071872] |
[a1,a2,a3,a4,a6] |
j |
-7174564826165737/5724 |
j-invariant |
L |
0.92859740672654 |
L(r)(E,1)/r! |
Ω |
0.11607468037182 |
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 |
38478l1 115434bw1 |
Quadratic twists by: -3 -11 |