Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824k |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3579756544 = -1 · 214 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 2 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2336,43552] |
[a1,a2,a3,a4,a6] |
Generators |
[33:49:1] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
4.7545219242311 |
L(r)(E,1)/r! |
Ω |
1.4081119456931 |
Real period |
R |
0.67530453651407 |
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 |
5824t1 364a1 52416dj1 40768n1 |
Quadratic twists by: -4 8 -3 -7 |