Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450h |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
12977875000000 = 26 · 59 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -3 3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7025,143125] |
[a1,a2,a3,a4,a6] |
Generators |
[74:151:1] [215:2830:1] |
Generators of the group modulo torsion |
j |
23639903/8000 |
j-invariant |
L |
6.4699031737531 |
L(r)(E,1)/r! |
Ω |
0.65278462670964 |
Real period |
R |
0.61945231503639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090l1 110450g1 |
Quadratic twists by: 5 -47 |