Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600v |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
105705000000 = 26 · 36 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1658,-21312] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:72:1] |
Generators of the group modulo torsion |
j |
504358336/105705 |
j-invariant |
L |
9.4588037900757 |
L(r)(E,1)/r! |
Ω |
0.75920382470354 |
Real period |
R |
2.0764743894181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600bf1 13920u1 |
Quadratic twists by: -4 5 |