Atkin-Lehner |
2- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13552k |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
149072 = 24 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,68] |
[a1,a2,a3,a4,a6] |
j |
131072/7 |
j-invariant |
L |
1.6045696225352 |
L(r)(E,1)/r! |
Ω |
3.2091392450705 |
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 |
3388e1 54208bs1 121968dl1 94864bu1 |
Quadratic twists by: -4 8 -3 -7 |