Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430f |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
384758443521000 = 23 · 34 · 53 · 416 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8965648,-10336598792] |
[a1,a2,a3,a4,a6] |
Generators |
[-13833180:6968701:8000] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
3.9811296079172 |
L(r)(E,1)/r! |
Ω |
0.087247728216952 |
Real period |
R |
5.7037725927692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30a7 |
Quadratic twists by: 41 |