Atkin-Lehner |
5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52345c |
Isogeny class |
Conductor |
52345 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2508000 |
Modular degree for the optimal curve |
Δ |
-2.0683423280038E+22 |
Discriminant |
Eigenvalues |
0 0 5+ -2 0 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10713758,15167963449] |
[a1,a2,a3,a4,a6] |
j |
-421470129586176/64097340625 |
j-invariant |
L |
1.1714793979074 |
L(r)(E,1)/r! |
Ω |
0.11714793988444 |
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 |
52345a1 |
Quadratic twists by: -19 |