Atkin-Lehner |
5+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47725a |
Isogeny class |
Conductor |
47725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
-2953860576171875 = -1 · 510 · 232 · 833 |
Discriminant |
Eigenvalues |
1 3 5+ -1 -1 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35558,412091] |
[a1,a2,a3,a4,a6] |
Generators |
[1791930:46342631:27000] |
Generators of the group modulo torsion |
j |
318206313866511/189047076875 |
j-invariant |
L |
11.750373621734 |
L(r)(E,1)/r! |
Ω |
0.27530101331272 |
Real period |
R |
10.670477998155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9545a1 |
Quadratic twists by: 5 |