Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11050n |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
11492000000 = 28 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1363,-18783] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:37:1] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
4.4455894021206 |
L(r)(E,1)/r! |
Ω |
0.7877204958908 |
Real period |
R |
0.70545158868395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400bj1 99450bi1 442c1 |
Quadratic twists by: -4 -3 5 |