Atkin-Lehner |
3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565s |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249280 |
Modular degree for the optimal curve |
Δ |
-266217350667675 = -1 · 3 · 52 · 11 · 199 |
Discriminant |
Eigenvalues |
0 3- 5- 0 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-214915,38284969] |
[a1,a2,a3,a4,a6] |
j |
-3402072064/825 |
j-invariant |
L |
2.1501868439766 |
L(r)(E,1)/r! |
Ω |
0.53754671029884 |
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 |
59565i1 |
Quadratic twists by: -19 |