Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11592p |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3510985445194752 = -1 · 210 · 36 · 75 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37725,-416306] |
[a1,a2,a3,a4,a6] |
j |
7953970437500/4703287687 |
j-invariant |
L |
2.6053320137989 |
L(r)(E,1)/r! |
Ω |
0.26053320137989 |
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 |
23184h1 92736bt1 1288f1 81144bi1 |
Quadratic twists by: -4 8 -3 -7 |