Atkin-Lehner |
2- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088z |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-188171456 = -1 · 26 · 113 · 472 |
Discriminant |
Eigenvalues |
2- -1 -3 -4 11+ 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,143,-121] |
[a1,a2,a3,a4,a6] |
Generators |
[2:13:1] [10:47:1] |
Generators of the group modulo torsion |
j |
5017776128/2940179 |
j-invariant |
L |
5.1904676029493 |
L(r)(E,1)/r! |
Ω |
1.0562455051385 |
Real period |
R |
2.457036540131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088m1 8272m1 |
Quadratic twists by: -4 8 |