Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150u |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
72546055664062500 = 22 · 32 · 512 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121126,9754148] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:3101:1] |
Generators of the group modulo torsion |
j |
12577973014374481/4642947562500 |
j-invariant |
L |
4.755823168638 |
L(r)(E,1)/r! |
Ω |
0.31598053963268 |
Real period |
R |
1.8813750263571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99450dm2 6630r2 |
Quadratic twists by: -3 5 |