Atkin-Lehner |
3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325v |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
2587482421875 = 32 · 59 · 133 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 0 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-740088,-245122083] |
[a1,a2,a3,a4,a6] |
j |
2869153675683713209/165598875 |
j-invariant |
L |
1.9532595602253 |
L(r)(E,1)/r! |
Ω |
0.16277162998521 |
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 |
13065b1 |
Quadratic twists by: 5 |