Atkin-Lehner |
2+ 3- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090h |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
5171346082800000000 = 210 · 315 · 58 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-535770,104121396] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:11694:1] |
Generators of the group modulo torsion |
j |
23330917380009417121/7093753200000000 |
j-invariant |
L |
4.9823765776056 |
L(r)(E,1)/r! |
Ω |
0.22448005244291 |
Real period |
R |
1.3871991415207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27030v1 |
Quadratic twists by: -3 |