Atkin-Lehner |
2- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088bb |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-33088 = -1 · 26 · 11 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 -3 11+ 1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,10] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] [1:2:1] |
Generators of the group modulo torsion |
j |
-1000000/517 |
j-invariant |
L |
5.8022960093806 |
L(r)(E,1)/r! |
Ω |
3.4339044265825 |
Real period |
R |
1.6897080665568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088bj1 16544g1 |
Quadratic twists by: -4 8 |