Atkin-Lehner |
2+ 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
50840f |
Isogeny class |
Conductor |
50840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-33351040000 = -1 · 210 · 54 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,320,-8400] |
[a1,a2,a3,a4,a6] |
Generators |
[19:70:1] [20:80:1] |
Generators of the group modulo torsion |
j |
3527896316/32569375 |
j-invariant |
L |
6.3864309576411 |
L(r)(E,1)/r! |
Ω |
0.57648648922941 |
Real period |
R |
2.7695492769396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680j2 |
Quadratic twists by: -4 |