Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368o |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
17891328 = 216 · 3 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,448] |
[a1,a2,a3,a4,a6] |
j |
38272753/4368 |
j-invariant |
L |
2.1129573010389 |
L(r)(E,1)/r! |
Ω |
2.1129573010389 |
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 |
546g1 17472cu1 13104bt1 109200gl1 |
Quadratic twists by: -4 8 -3 5 |