Atkin-Lehner |
2+ 3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434f |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-45390495744 = -1 · 218 · 33 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,852,-3888] |
[a1,a2,a3,a4,a6] |
j |
20922164109/13893632 |
j-invariant |
L |
2.5869999664687 |
L(r)(E,1)/r! |
Ω |
0.64675007704903 |
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 |
115434bm2 115434bg1 |
Quadratic twists by: -3 -11 |