Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cj |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
474127547351040 = 214 · 33 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-346705,-78453263] |
[a1,a2,a3,a4,a6] |
Generators |
[435540030744:8406922480243:498677257] |
Generators of the group modulo torsion |
j |
158792223184/16335 |
j-invariant |
L |
8.0480106801389 |
L(r)(E,1)/r! |
Ω |
0.19674880570609 |
Real period |
R |
20.452501991801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160jp2 7260p2 10560n2 |
Quadratic twists by: -4 8 -11 |