Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048y |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
74048 = 26 · 13 · 89 |
Discriminant |
Eigenvalues |
2- -2 0 -1 2 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
4096000/1157 |
j-invariant |
L |
4.1326085251226 |
L(r)(E,1)/r! |
Ω |
3.2121641972181 |
Real period |
R |
1.2865495882708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048h1 18512f1 |
Quadratic twists by: -4 8 |