Atkin-Lehner |
2- 3+ 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bx |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-28382217633792000 = -1 · 233 · 33 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5627,-8105749] |
[a1,a2,a3,a4,a6] |
Generators |
[211:154:1] |
Generators of the group modulo torsion |
j |
-729656296849683/1051193245696000 |
j-invariant |
L |
10.827601540893 |
L(r)(E,1)/r! |
Ω |
0.16890699524831 |
Real period |
R |
2.9138148235064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970697 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88110b2 |
Quadratic twists by: -3 |