Atkin-Lehner |
5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13225f |
Isogeny class |
Conductor |
13225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-166251242529296875 = -1 · 511 · 237 |
Discriminant |
Eigenvalues |
-2 0 5+ 1 -2 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,92575,16349406] |
[a1,a2,a3,a4,a6] |
j |
37933056/71875 |
j-invariant |
L |
0.88842612635142 |
L(r)(E,1)/r! |
Ω |
0.22210653158785 |
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 |
119025bo1 2645c1 575b1 |
Quadratic twists by: -3 5 -23 |