Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5408b |
Isogeny class |
Conductor |
5408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-32127240704 = -1 · 29 · 137 |
Discriminant |
Eigenvalues |
2+ -1 -1 3 2 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,8644] |
[a1,a2,a3,a4,a6] |
Generators |
[48:338:1] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
3.283224315212 |
L(r)(E,1)/r! |
Ω |
0.94166724303084 |
Real period |
R |
0.87165193955475 |
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 |
5408h1 10816d1 48672bp1 416b1 |
Quadratic twists by: -4 8 -3 13 |