Atkin-Lehner |
2+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88768b |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-32045248 = -1 · 26 · 193 · 73 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 0 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41,-267] |
[a1,a2,a3,a4,a6] |
Generators |
[19464:119841:512] |
Generators of the group modulo torsion |
j |
116214272/500707 |
j-invariant |
L |
8.3001985217033 |
L(r)(E,1)/r! |
Ω |
1.0517103693832 |
Real period |
R |
7.892095352095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88768g1 44384e1 |
Quadratic twists by: -4 8 |