Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bc |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
1891210208688864 = 25 · 36 · 711 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77184,8003232] |
[a1,a2,a3,a4,a6] |
j |
592915705201/22050784 |
j-invariant |
L |
0.92945574171437 |
L(r)(E,1)/r! |
Ω |
0.46472787086594 |
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 |
4018n1 5166p1 |
Quadratic twists by: -3 -7 |