Atkin-Lehner |
2+ 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33350d |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-106720000 = -1 · 28 · 54 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -3 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1476,21698] |
[a1,a2,a3,a4,a6] |
Generators |
[17:31:1] |
Generators of the group modulo torsion |
j |
-568433588425/170752 |
j-invariant |
L |
2.1062447885747 |
L(r)(E,1)/r! |
Ω |
1.8411932441356 |
Real period |
R |
0.19065939939432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33350p1 |
Quadratic twists by: 5 |