Atkin-Lehner |
2- 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cw |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
62121093750 = 2 · 33 · 59 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -1 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3013,62267] |
[a1,a2,a3,a4,a6] |
Generators |
[166:667:8] |
Generators of the group modulo torsion |
j |
1548816893/31806 |
j-invariant |
L |
11.588059440173 |
L(r)(E,1)/r! |
Ω |
1.1067361232444 |
Real period |
R |
1.7450801498578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350q1 |
Quadratic twists by: 5 |