Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
33540a |
Isogeny class |
Conductor |
33540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-9374430000 = -1 · 24 · 3 · 54 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,439,2886] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2150:1] |
Generators of the group modulo torsion |
j |
583455358976/585901875 |
j-invariant |
L |
2.8846759750636 |
L(r)(E,1)/r! |
Ω |
0.85418159813127 |
Real period |
R |
1.6885612973719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100620d1 |
Quadratic twists by: -3 |