Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bb |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1336789495185408 = -1 · 224 · 33 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13125,1661162] |
[a1,a2,a3,a4,a6] |
j |
2260986328125/12087578624 |
j-invariant |
L |
4.1693114723269 |
L(r)(E,1)/r! |
Ω |
0.34744262270743 |
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 |
5742q1 45936v3 |
Quadratic twists by: -4 -3 |