Atkin-Lehner |
2- 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576ba |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1868897321422848 = 212 · 32 · 194 · 733 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135448,-19119148] |
[a1,a2,a3,a4,a6] |
j |
67094166273513625/456273760113 |
j-invariant |
L |
1.9917007857395 |
L(r)(E,1)/r! |
Ω |
0.24896260023699 |
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 |
4161a1 |
Quadratic twists by: -4 |