Atkin-Lehner |
2+ 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160k |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-879220113868800 = -1 · 211 · 32 · 52 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4960,1434592] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:660:1] [-108:836:1] |
Generators of the group modulo torsion |
j |
-6590621119682/429306696225 |
j-invariant |
L |
7.9970140486859 |
L(r)(E,1)/r! |
Ω |
0.41231972224734 |
Real period |
R |
1.2121985708534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080t3 |
Quadratic twists by: -4 |