Atkin-Lehner |
2+ 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160k |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
70207948800 = 211 · 38 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222960,40596192] |
[a1,a2,a3,a4,a6] |
Generators |
[274:30:1] [949:26130:1] |
Generators of the group modulo torsion |
j |
598517116284883682/34281225 |
j-invariant |
L |
7.9970140486859 |
L(r)(E,1)/r! |
Ω |
0.82463944449467 |
Real period |
R |
4.8487942834135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080t4 |
Quadratic twists by: -4 |