Atkin-Lehner |
2+ 3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110b |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-259424982558720 = -1 · 211 · 33 · 5 · 113 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-359025,82894365] |
[a1,a2,a3,a4,a6] |
Generators |
[-3226:103429:8] |
Generators of the group modulo torsion |
j |
-189554762767721338827/9608332687360 |
j-invariant |
L |
3.6461842804345 |
L(r)(E,1)/r! |
Ω |
0.52141588238865 |
Real period |
R |
3.4964261630269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003958 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88110bx2 |
Quadratic twists by: -3 |