Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800cl |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1868800 = 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,257] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
1703680/73 |
j-invariant |
L |
5.2105499162355 |
L(r)(E,1)/r! |
Ω |
2.6099322170315 |
Real period |
R |
1.9964311374946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999451182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800o1 29200u1 116800cq1 |
Quadratic twists by: -4 8 5 |