Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
98082143128780800 = 226 · 3 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174401,-23581215] |
[a1,a2,a3,a4,a6] |
Generators |
[763:16940:1] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
4.5521332684863 |
L(r)(E,1)/r! |
Ω |
0.23627660284151 |
Real period |
R |
2.4082649917447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997815392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160dr1 29040dq1 10560bp1 |
Quadratic twists by: -4 8 -11 |