Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368j |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-4172950511235072 = -1 · 212 · 317 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -1 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102504,13008368] |
[a1,a2,a3,a4,a6] |
j |
-39889507589632/1397512683 |
j-invariant |
L |
1.74337910028 |
L(r)(E,1)/r! |
Ω |
0.43584477507527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368br1 92736be1 15456k1 |
Quadratic twists by: -4 8 -3 |