Atkin-Lehner |
3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595r |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
61200 |
Modular degree for the optimal curve |
Δ |
-62968833433755 = -1 · 36 · 5 · 175 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 1 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41657,3305076] |
[a1,a2,a3,a4,a6] |
j |
-10966054014452809/86377000595 |
j-invariant |
L |
1.875114239743 |
L(r)(E,1)/r! |
Ω |
0.62503807991433 |
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 |
1955a1 87975x1 |
Quadratic twists by: -3 5 |