Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110be |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1041856398950400 = 216 · 310 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25344,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:1287:1] |
Generators of the group modulo torsion |
j |
2469626647031809/1429158297600 |
j-invariant |
L |
3.660464496152 |
L(r)(E,1)/r! |
Ω |
0.4154027169027 |
Real period |
R |
2.2029613316372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bg1 |
Quadratic twists by: -3 |