Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bl |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25288704 |
Modular degree for the optimal curve |
Δ |
1.1735506337676E+24 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 2 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-481874763,-4071119006540] |
[a1,a2,a3,a4,a6] |
j |
265227624284867472408445504/25153262897967247743 |
j-invariant |
L |
3.1578722181617 |
L(r)(E,1)/r! |
Ω |
0.032223186180507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cq1 38304bl2 25536bf1 |
Quadratic twists by: -4 8 -3 |