Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ev |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5412418486272 = 219 · 36 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4716,54864] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:288:1] |
Generators of the group modulo torsion |
j |
60698457/28322 |
j-invariant |
L |
5.2962762236908 |
L(r)(E,1)/r! |
Ω |
0.68192665433091 |
Real period |
R |
0.97082952207211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bq2 17136bo2 7616j2 |
Quadratic twists by: -4 8 -3 |