Atkin-Lehner |
2- 3+ 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110br |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
150336 |
Modular degree for the optimal curve |
Δ |
-1233258048000 = -1 · 29 · 39 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,997,51787] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:218:1] |
Generators of the group modulo torsion |
j |
5573476917/62656000 |
j-invariant |
L |
10.15682654155 |
L(r)(E,1)/r! |
Ω |
0.63606924000919 |
Real period |
R |
0.8871174793547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110f1 |
Quadratic twists by: -3 |