Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864o |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-21990792384 = -1 · 26 · 310 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-489,8260] |
[a1,a2,a3,a4,a6] |
j |
-277167808/471339 |
j-invariant |
L |
4.3212008307289 |
L(r)(E,1)/r! |
Ω |
1.0803002053041 |
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 |
72864z1 24288n1 |
Quadratic twists by: -4 -3 |