Atkin-Lehner |
2+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
105754h |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
-750539395588685824 = -1 · 228 · 114 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -1 2 11- -5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54730,41375604] |
[a1,a2,a3,a4,a6] |
Generators |
[2964:-189898:27] |
Generators of the group modulo torsion |
j |
1238297090060151/51262850596864 |
j-invariant |
L |
3.6629725448179 |
L(r)(E,1)/r! |
Ω |
0.2153811916617 |
Real period |
R |
2.1258660720511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105754n1 |
Quadratic twists by: -11 |