Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dp |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1.860560637575E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9948300,11897704656] |
[a1,a2,a3,a4,a6] |
Generators |
[2140:20216:1] [1405:26341:1] |
Generators of the group modulo torsion |
j |
123071256063948375000/2102955726425743 |
j-invariant |
L |
10.678426698864 |
L(r)(E,1)/r! |
Ω |
0.14849587047229 |
Real period |
R |
2.3970199002726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cu2 38304d2 76608do2 |
Quadratic twists by: -4 8 -3 |