Atkin-Lehner |
2- 3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45552s |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
19676085092352 = 220 · 32 · 134 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-695240,-223357836] |
[a1,a2,a3,a4,a6] |
j |
9073370424655260361/4803731712 |
j-invariant |
L |
1.3226831336685 |
L(r)(E,1)/r! |
Ω |
0.16533539172987 |
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 |
5694b1 |
Quadratic twists by: -4 |