Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dy |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
84725894641876992 = 219 · 311 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10455276,13012211536] |
[a1,a2,a3,a4,a6] |
Generators |
[78311363:1810359045:29791] |
Generators of the group modulo torsion |
j |
661397832743623417/443352042 |
j-invariant |
L |
5.6580534219315 |
L(r)(E,1)/r! |
Ω |
0.28225828976615 |
Real period |
R |
10.022829492663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608co4 19152bp3 25536cs4 |
Quadratic twists by: -4 8 -3 |