Atkin-Lehner |
2- 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632x |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1861607802984726528 = -1 · 232 · 39 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,296456,-21099820] |
[a1,a2,a3,a4,a6] |
j |
703465871685993863/454494092525568 |
j-invariant |
L |
2.7148855715679 |
L(r)(E,1)/r! |
Ω |
0.1508269762713 |
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 |
6954e1 |
Quadratic twists by: -4 |