Atkin-Lehner |
2- 3- 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
73968k |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-184634126106624 = -1 · 223 · 33 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 4 1 3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12864,-330444] |
[a1,a2,a3,a4,a6] |
j |
57472236459071/45076690944 |
j-invariant |
L |
3.7962888612057 |
L(r)(E,1)/r! |
Ω |
0.3163574050978 |
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 |
9246g1 |
Quadratic twists by: -4 |