Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352m |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
3412281590784 = 210 · 32 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75544,-8016604] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:6:1] |
Generators of the group modulo torsion |
j |
26282902468/1881 |
j-invariant |
L |
5.06201059061 |
L(r)(E,1)/r! |
Ω |
0.28797245339349 |
Real period |
R |
2.1972633748793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55176j1 10032e1 |
Quadratic twists by: -4 -11 |