Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bu |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
205241544160742700 = 22 · 324 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158423,-10635069] |
[a1,a2,a3,a4,a6] |
Generators |
[-1802:30381:8] |
Generators of the group modulo torsion |
j |
603181916895441961/281538469356300 |
j-invariant |
L |
10.167842368432 |
L(r)(E,1)/r! |
Ω |
0.25034433862224 |
Real period |
R |
5.0769284539955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770a2 |
Quadratic twists by: -3 |