Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bc |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4152960 |
Modular degree for the optimal curve |
Δ |
-4.2675221992E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4495208,-3802126412] |
[a1,a2,a3,a4,a6] |
Generators |
[2742:67048:1] |
Generators of the group modulo torsion |
j |
-251138440675825/10668805498 |
j-invariant |
L |
3.8820294360416 |
L(r)(E,1)/r! |
Ω |
0.051713477872084 |
Real period |
R |
2.6810014403813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050b1 88400cc1 |
Quadratic twists by: -4 5 |