Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5824i |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-12213813248 = -1 · 227 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,447,-4031] |
[a1,a2,a3,a4,a6] |
j |
37595375/46592 |
j-invariant |
L |
1.3579325206984 |
L(r)(E,1)/r! |
Ω |
0.67896626034918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5824p1 182b1 52416cj1 40768bh1 |
Quadratic twists by: -4 8 -3 -7 |