Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050b |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
481074343750 = 2 · 56 · 72 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2317,27591] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:278:1] |
Generators of the group modulo torsion |
j |
88061730849/30788758 |
j-invariant |
L |
2.7975763495053 |
L(r)(E,1)/r! |
Ω |
0.857028136143 |
Real period |
R |
1.6321379844448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2002c2 |
Quadratic twists by: 5 |