Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158l |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-315792 = -1 · 24 · 33 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10,21] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
4492125/11696 |
j-invariant |
L |
7.3643363244838 |
L(r)(E,1)/r! |
Ω |
2.1401415006696 |
Real period |
R |
0.43013139097226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264s1 13158b1 |
Quadratic twists by: -4 -3 |