Atkin-Lehner |
5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13325a |
Isogeny class |
Conductor |
13325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-35186328125 = -1 · 58 · 133 · 41 |
Discriminant |
Eigenvalues |
1 1 5+ 4 -6 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3401,76573] |
[a1,a2,a3,a4,a6] |
j |
-278317173889/2251925 |
j-invariant |
L |
2.333341132079 |
L(r)(E,1)/r! |
Ω |
1.1666705660395 |
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 |
119925r1 2665d1 |
Quadratic twists by: -3 5 |