Atkin-Lehner |
2+ 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150g |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1904762062500 = 22 · 3 · 56 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18100,-942500] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:86:1] [-75:50:1] |
Generators of the group modulo torsion |
j |
41973665875777/121904772 |
j-invariant |
L |
5.6021069705175 |
L(r)(E,1)/r! |
Ω |
0.41167321015067 |
Real period |
R |
6.8040703553039 |
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 |
2046i3 |
Quadratic twists by: 5 |