Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160bg |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2477752320 = 215 · 3 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545,4095] |
[a1,a2,a3,a4,a6] |
Generators |
[18:21:1] |
Generators of the group modulo torsion |
j |
547343432/75615 |
j-invariant |
L |
8.327736138087 |
L(r)(E,1)/r! |
Ω |
1.3922351216113 |
Real period |
R |
2.9907793620548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160o2 34080a2 |
Quadratic twists by: -4 8 |