Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282m |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-24262578 = -1 · 2 · 38 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153,-729] |
[a1,a2,a3,a4,a6] |
Generators |
[15:6:1] |
Generators of the group modulo torsion |
j |
-294937/18 |
j-invariant |
L |
3.9000576572399 |
L(r)(E,1)/r! |
Ω |
0.67613205335016 |
Real period |
R |
1.4420473182406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094t1 33282x1 |
Quadratic twists by: -3 -43 |