Atkin-Lehner |
3- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175p |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
123840 |
Modular degree for the optimal curve |
Δ |
-1065123046875 = -1 · 3 · 59 · 173 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 -5 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12958,-574256] |
[a1,a2,a3,a4,a6] |
j |
-123208626176/545343 |
j-invariant |
L |
1.3420494192275 |
L(r)(E,1)/r! |
Ω |
0.22367490324892 |
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 |
47175e1 |
Quadratic twists by: 5 |