Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32300n |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
-597420800 = -1 · 28 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,-1180] |
[a1,a2,a3,a4,a6] |
j |
-1105920/93347 |
j-invariant |
L |
6.479969239649 |
L(r)(E,1)/r! |
Ω |
0.71999658218346 |
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 |
129200cc1 32300q1 |
Quadratic twists by: -4 5 |