Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352v |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-103056408576 = -1 · 218 · 32 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-480,16128] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-114:1] |
Generators of the group modulo torsion |
j |
-24729001/207936 |
j-invariant |
L |
7.102547611815 |
L(r)(E,1)/r! |
Ω |
0.90867828590757 |
Real period |
R |
0.97704376868192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999379864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bm1 110352bk1 |
Quadratic twists by: -4 -11 |