Atkin-Lehner |
2- 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232be |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-77668429824 = -1 · 212 · 36 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -1 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144,-13392] |
[a1,a2,a3,a4,a6] |
j |
110592/26011 |
j-invariant |
L |
2.0452890303752 |
L(r)(E,1)/r! |
Ω |
0.51132218540559 |
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 |
6327d1 11248h1 |
Quadratic twists by: -4 -3 |