Atkin-Lehner |
2+ 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158b |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-230212368 = -1 · 24 · 39 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,93,-667] |
[a1,a2,a3,a4,a6] |
Generators |
[22:97:1] |
Generators of the group modulo torsion |
j |
4492125/11696 |
j-invariant |
L |
3.6259033459395 |
L(r)(E,1)/r! |
Ω |
0.90943281873188 |
Real period |
R |
0.99674854240347 |
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 |
105264y1 13158l1 |
Quadratic twists by: -4 -3 |