Atkin-Lehner |
2- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89146f |
Isogeny class |
Conductor |
89146 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2046240 |
Modular degree for the optimal curve |
Δ |
-9.4541329467221E+18 |
Discriminant |
Eigenvalues |
2- 1 2 -2 3 -2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1429297,674018737] |
[a1,a2,a3,a4,a6] |
Generators |
[5938032:60518147:6859] |
Generators of the group modulo torsion |
j |
-767557993/22472 |
j-invariant |
L |
13.86918323142 |
L(r)(E,1)/r! |
Ω |
0.22946962167528 |
Real period |
R |
10.073361865753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89146c1 |
Quadratic twists by: 29 |