Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19344g |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-928512 = -1 · 28 · 32 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -5 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[14:57:1] |
Generators of the group modulo torsion |
j |
5030912/3627 |
j-invariant |
L |
7.1596447257648 |
L(r)(E,1)/r! |
Ω |
1.5709501440554 |
Real period |
R |
2.2787625542597 |
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 |
9672a1 77376bg1 58032j1 |
Quadratic twists by: -4 8 -3 |