Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736ek |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-11537842176 = -1 · 215 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,5168] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:63:1] [-2:72:1] |
Generators of the group modulo torsion |
j |
-8/483 |
j-invariant |
L |
11.349954472826 |
L(r)(E,1)/r! |
Ω |
1.0158330931132 |
Real period |
R |
0.69831565773272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736ew1 46368o1 30912bg1 |
Quadratic twists by: -4 8 -3 |