Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33072t |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-452667878866944 = -1 · 216 · 33 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46392,3964500] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1920:1] |
Generators of the group modulo torsion |
j |
-2695891520738233/110514618864 |
j-invariant |
L |
7.8984165254032 |
L(r)(E,1)/r! |
Ω |
0.52330428217613 |
Real period |
R |
2.5155589187225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4134a1 99216bj1 |
Quadratic twists by: -4 -3 |