Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725c |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-101682685546875 = -1 · 39 · 510 · 232 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 -6 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,11667,7193] |
[a1,a2,a3,a4,a6] |
j |
17983078400/10412307 |
j-invariant |
L |
0.71571734099781 |
L(r)(E,1)/r! |
Ω |
0.3578586704989 |
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 |
27600cl1 110400dv1 5175a1 1725q1 |
Quadratic twists by: -4 8 -3 5 |