Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120v |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
211001760000 = 28 · 39 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5727,165346] |
[a1,a2,a3,a4,a6] |
j |
111310918864/1130625 |
j-invariant |
L |
4.0167349921628 |
L(r)(E,1)/r! |
Ω |
1.0041837480407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48240y1 8040e1 120600v1 |
Quadratic twists by: -4 -3 5 |