Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5408k |
Isogeny class |
Conductor |
5408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
678687959872 = 26 · 139 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2197,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:138:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
2.7445048147261 |
L(r)(E,1)/r! |
Ω |
0.76597518762192 |
Real period |
R |
3.5830205195638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5408k1 10816bl2 48672ba1 5408e1 |
Quadratic twists by: -4 8 -3 13 |