Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824o |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-87209680044032 = -1 · 225 · 7 · 135 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 5 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1420,449776] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3328:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
2.6147445590691 |
L(r)(E,1)/r! |
Ω |
0.492569770761 |
Real period |
R |
0.26541869946967 |
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 |
5824x1 182e1 52416cu1 40768ba1 |
Quadratic twists by: -4 8 -3 -7 |