Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
81180n |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1435343904720 = 24 · 36 · 5 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24852,-1506859] |
[a1,a2,a3,a4,a6] |
Generators |
[13623056:-784755785:4096] |
Generators of the group modulo torsion |
j |
145532582477824/123057605 |
j-invariant |
L |
7.1694313110891 |
L(r)(E,1)/r! |
Ω |
0.380260542771 |
Real period |
R |
9.4269987348255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9020b1 |
Quadratic twists by: -3 |