Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fj |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
13683149244531648 = 26 · 314 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91839,-9114968] |
[a1,a2,a3,a4,a6] |
Generators |
[1256:43092:1] |
Generators of the group modulo torsion |
j |
1836105571609408/293277375783 |
j-invariant |
L |
8.8430734305419 |
L(r)(E,1)/r! |
Ω |
0.27720695635641 |
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 |
76608dv1 38304r3 25536do1 |
Quadratic twists by: -4 8 -3 |