Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110cl |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
24901654177382400 = 220 · 36 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-259682,-50300319] |
[a1,a2,a3,a4,a6] |
Generators |
[-309:759:1] |
Generators of the group modulo torsion |
j |
2656563234067925209/34158647705600 |
j-invariant |
L |
12.719466621967 |
L(r)(E,1)/r! |
Ω |
0.21165427238984 |
Real period |
R |
1.5023871800921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790b1 |
Quadratic twists by: -3 |