Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432cl |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-490696804528128 = -1 · 212 · 316 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3315,-1068302] |
[a1,a2,a3,a4,a6] |
Generators |
[1313:47520:1] |
Generators of the group modulo torsion |
j |
-1349232625/164333367 |
j-invariant |
L |
6.5937653894876 |
L(r)(E,1)/r! |
Ω |
0.23246735948633 |
Real period |
R |
3.5455329105435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2277a1 12144bb1 |
Quadratic twists by: -4 -3 |