Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19344l |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-61107696 = -1 · 24 · 36 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70,279] |
[a1,a2,a3,a4,a6] |
Generators |
[5:27:1] |
Generators of the group modulo torsion |
j |
2337108224/3819231 |
j-invariant |
L |
5.0346975973003 |
L(r)(E,1)/r! |
Ω |
1.3459753132581 |
Real period |
R |
0.93513929039181 |
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 |
4836d1 77376bs1 58032bb1 |
Quadratic twists by: -4 8 -3 |