Atkin-Lehner |
2+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86848n |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-81984512 = -1 · 210 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ -1 2 0 0 -5 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-537,4993] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:59:1] |
Generators of the group modulo torsion |
j |
-16755411712/80063 |
j-invariant |
L |
6.2350824788235 |
L(r)(E,1)/r! |
Ω |
1.9335107202197 |
Real period |
R |
1.6123733938112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86848r1 5428b1 |
Quadratic twists by: -4 8 |