Atkin-Lehner |
2- 3- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98532s |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1963008 |
Modular degree for the optimal curve |
Δ |
-51069283792128 = -1 · 28 · 39 · 72 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 1 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4349847,-3491878210] |
[a1,a2,a3,a4,a6] |
j |
-48772853261027477584/273647997 |
j-invariant |
L |
1.2544758500003 |
L(r)(E,1)/r! |
Ω |
0.052269827096087 |
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 |
32844a1 |
Quadratic twists by: -3 |