Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
8850be |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
398250000 = 24 · 33 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-863,-9783] |
[a1,a2,a3,a4,a6] |
j |
4549540393/25488 |
j-invariant |
L |
5.2867891388493 |
L(r)(E,1)/r! |
Ω |
0.88113152314155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70800v1 26550g1 354d1 |
Quadratic twists by: -4 -3 5 |