Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608en |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
136640156663808 = 226 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22188,-1141040] |
[a1,a2,a3,a4,a6] |
j |
6321363049/715008 |
j-invariant |
L |
3.1524230370973 |
L(r)(E,1)/r! |
Ω |
0.39405288492693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cj1 19152bo1 25536da1 |
Quadratic twists by: -4 8 -3 |