Atkin-Lehner |
3+ 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65565b |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
231116625 = 33 · 53 · 31 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195,-704] |
[a1,a2,a3,a4,a6] |
j |
30459021867/8559875 |
j-invariant |
L |
1.3044669870155 |
L(r)(E,1)/r! |
Ω |
1.304466984441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65565d1 |
Quadratic twists by: -3 |