Atkin-Lehner |
5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19975f |
Isogeny class |
Conductor |
19975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-16580810546875 = -1 · 513 · 172 · 47 |
Discriminant |
Eigenvalues |
0 0 5+ 0 0 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2200,-191844] |
[a1,a2,a3,a4,a6] |
j |
75365351424/1061171875 |
j-invariant |
L |
1.360957017184 |
L(r)(E,1)/r! |
Ω |
0.340239254296 |
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 |
3995c1 |
Quadratic twists by: 5 |