Atkin-Lehner |
3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025o |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-13551608211075 = -1 · 311 · 52 · 115 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11+ -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13935,-657459] |
[a1,a2,a3,a4,a6] |
j |
-16420149022720/743572467 |
j-invariant |
L |
0.87650670984877 |
L(r)(E,1)/r! |
Ω |
0.21912667759617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675t1 47025bi2 |
Quadratic twists by: -3 5 |