Atkin-Lehner |
2+ 3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110b |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.0690636655034E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50640,218905856] |
[a1,a2,a3,a4,a6] |
Generators |
[-68574:3111127:216] |
Generators of the group modulo torsion |
j |
-729656296849683/1051193245696000 |
j-invariant |
L |
3.6461842804345 |
L(r)(E,1)/r! |
Ω |
0.17380529412955 |
Real period |
R |
10.489278489081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110bx1 |
Quadratic twists by: -3 |