Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120bk |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-833783921913600 = -1 · 28 · 36 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34527,2833346] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-630:1] |
Generators of the group modulo torsion |
j |
-24391176723664/4467720775 |
j-invariant |
L |
8.0853550034357 |
L(r)(E,1)/r! |
Ω |
0.48170884874318 |
Real period |
R |
0.52452294472634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680f2 |
Quadratic twists by: -3 |