Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fj |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5.6539251382336E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1346124,-701603408] |
[a1,a2,a3,a4,a6] |
Generators |
[1406:13608:1] |
Generators of the group modulo torsion |
j |
-11292795168713864/2366860111371 |
j-invariant |
L |
8.8430734305419 |
L(r)(E,1)/r! |
Ω |
0.069301739089103 |
Real period |
R |
2.6583848958689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dv3 38304r2 25536do3 |
Quadratic twists by: -4 8 -3 |