Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
28400v |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-568000000000 = -1 · 212 · 59 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 0 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1867,19363] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:125:1] |
Generators of the group modulo torsion |
j |
11239424/8875 |
j-invariant |
L |
2.531466384658 |
L(r)(E,1)/r! |
Ω |
0.5921320105607 |
Real period |
R |
1.0687930814029 |
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 |
1775a1 113600cm1 5680k1 |
Quadratic twists by: -4 8 5 |