Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824u |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-11927552 = -1 · 217 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,193] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
-31250/91 |
j-invariant |
L |
3.2210135056782 |
L(r)(E,1)/r! |
Ω |
1.9885483324219 |
Real period |
R |
0.40494533790829 |
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 |
5824l1 1456a1 52416fb1 40768co1 |
Quadratic twists by: -4 8 -3 -7 |