Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bl |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-513582686138368 = -1 · 212 · 7 · 112 · 236 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1951,1091335] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:1066:1] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
8.257770646665 |
L(r)(E,1)/r! |
Ω |
0.42245542197879 |
Real period |
R |
0.81446173704849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
154b1 |
Quadratic twists by: -23 |