Atkin-Lehner |
2+ 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136d |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-6640745472 = -1 · 210 · 34 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 6 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,464,932] |
[a1,a2,a3,a4,a6] |
j |
10765677884/6485103 |
j-invariant |
L |
6.5432345360319 |
L(r)(E,1)/r! |
Ω |
0.81790431806191 |
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 |
32568d1 |
Quadratic twists by: -4 |