Atkin-Lehner |
2- 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430w |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-21559671521280 = -1 · 220 · 33 · 5 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -5 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6607,83041] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6356:1] |
Generators of the group modulo torsion |
j |
1181502081636813/798506352640 |
j-invariant |
L |
9.9749356228549 |
L(r)(E,1)/r! |
Ω |
0.42788742533117 |
Real period |
R |
0.1942671333693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47430e1 |
Quadratic twists by: -3 |