Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5057360505077760000 = 222 · 32 · 54 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-793921,250122721] |
[a1,a2,a3,a4,a6] |
Generators |
[2248:99099:1] |
Generators of the group modulo torsion |
j |
119168121961/10890000 |
j-invariant |
L |
4.5521332684863 |
L(r)(E,1)/r! |
Ω |
0.23627660284151 |
Real period |
R |
4.8165299834894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997815392 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160dr2 29040dq2 10560bp2 |
Quadratic twists by: -4 8 -11 |