Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
828c |
Isogeny class |
Conductor |
828 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
-268272 = -1 · 24 · 36 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
-6912/23 |
j-invariant |
L |
2.3181073582046 |
L(r)(E,1)/r! |
Ω |
1.2681978152853 |
Real period |
R |
1.8278752180969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3312q1 13248j1 92b1 20700q1 |
Quadratic twists by: -4 8 -3 5 |