Atkin-Lehner |
3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1089g |
Isogeny class |
Conductor |
1089 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
383565986793 = 39 · 117 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7101,-226616] |
[a1,a2,a3,a4,a6] |
Generators |
[1400:51572:1] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
3.0782580105364 |
L(r)(E,1)/r! |
Ω |
0.52038018817194 |
Real period |
R |
2.9577010044811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17424bw1 69696cw1 363a1 27225bo1 |
Quadratic twists by: -4 8 -3 5 |