Atkin-Lehner |
2+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33728b |
Isogeny class |
Conductor |
33728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-141465485312 = -1 · 228 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,18096] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:132:1] [24:180:1] |
Generators of the group modulo torsion |
j |
3375/539648 |
j-invariant |
L |
7.73566375101 |
L(r)(E,1)/r! |
Ω |
0.81853043530925 |
Real period |
R |
9.4506733254062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33728i1 1054a1 |
Quadratic twists by: -4 8 |