Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24208i |
Isogeny class |
Conductor |
24208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8824881152 = 216 · 17 · 892 |
Discriminant |
Eigenvalues |
2- -2 -2 2 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1904,-32300] |
[a1,a2,a3,a4,a6] |
Generators |
[82:608:1] |
Generators of the group modulo torsion |
j |
186463002097/2154512 |
j-invariant |
L |
3.7575714442405 |
L(r)(E,1)/r! |
Ω |
0.72321450170653 |
Real period |
R |
2.5978263954705 |
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 |
3026e1 96832z1 |
Quadratic twists by: -4 8 |