Atkin-Lehner |
2+ 11+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
105754a |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1655808 |
Modular degree for the optimal curve |
Δ |
388296413056876544 = 214 · 119 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 11+ 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-221917,26818680] |
[a1,a2,a3,a4,a6] |
Generators |
[12110:1325610:1] |
Generators of the group modulo torsion |
j |
512576216027/164675584 |
j-invariant |
L |
2.3585309076113 |
L(r)(E,1)/r! |
Ω |
0.27754111813212 |
Real period |
R |
4.2489756361908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105754m1 |
Quadratic twists by: -11 |