Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056c |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
34962238009296 = 24 · 39 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8454,92635] |
[a1,a2,a3,a4,a6] |
j |
5728790382592/2997448389 |
j-invariant |
L |
2.2955113423953 |
L(r)(E,1)/r! |
Ω |
0.57387783556406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21528j1 14352l1 |
Quadratic twists by: -4 -3 |