Atkin-Lehner |
2- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53482o |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
1302961856768 = 28 · 116 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6597,196043] |
[a1,a2,a3,a4,a6] |
j |
17923019113/735488 |
j-invariant |
L |
6.8090653753956 |
L(r)(E,1)/r! |
Ω |
0.85113317206505 |
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 |
442c1 |
Quadratic twists by: -11 |