Atkin-Lehner |
2- 3+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882z |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-95756286912 = -1 · 26 · 3 · 112 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1143,1143] |
[a1,a2,a3,a4,a6] |
Generators |
[21:176:1] |
Generators of the group modulo torsion |
j |
165134819313647/95756286912 |
j-invariant |
L |
7.9909629643258 |
L(r)(E,1)/r! |
Ω |
0.64142644322937 |
Real period |
R |
2.0763521285709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74646k1 |
Quadratic twists by: -3 |