Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232r |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
44213957363407104 = 28 · 32 · 74 · 134 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126404,-13988796] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:1430:1] [-235:1638:1] |
Generators of the group modulo torsion |
j |
872508435091465552/172710770950809 |
j-invariant |
L |
6.9723734343627 |
L(r)(E,1)/r! |
Ω |
0.2566973790761 |
Real period |
R |
6.7904602877699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
100464s2 |
Quadratic twists by: -4 |