Atkin-Lehner |
3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585l |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6878873630780775 = 33 · 52 · 139 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-309274,66054497] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:8854:1] |
Generators of the group modulo torsion |
j |
308504680093/648675 |
j-invariant |
L |
9.3952956803773 |
L(r)(E,1)/r! |
Ω |
0.42120095689258 |
Real period |
R |
3.7176615764665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78585w2 |
Quadratic twists by: 13 |