Atkin-Lehner |
2+ 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150g |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2297721937500 = 22 · 34 · 56 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17100,850500] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-270:1] [-1130:6065:8] |
Generators of the group modulo torsion |
j |
35394167353537/147054204 |
j-invariant |
L |
5.6021069705175 |
L(r)(E,1)/r! |
Ω |
0.82334642030133 |
Real period |
R |
0.42525439720649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046i4 |
Quadratic twists by: 5 |