Atkin-Lehner |
2- 3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11388c |
Isogeny class |
Conductor |
11388 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
99622224 = 24 · 38 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,1736] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:27:1] [-8:60:1] |
Generators of the group modulo torsion |
j |
167416840192/6226389 |
j-invariant |
L |
6.0512141356553 |
L(r)(E,1)/r! |
Ω |
1.8781513629016 |
Real period |
R |
0.53698317888391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45552h1 34164c1 |
Quadratic twists by: -4 -3 |