Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110ck |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
50482788077096100 = 22 · 318 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8872052,10173693651] |
[a1,a2,a3,a4,a6] |
Generators |
[2074971:-595734619:6859] |
Generators of the group modulo torsion |
j |
105942050324199557697529/69249366360900 |
j-invariant |
L |
12.604542617093 |
L(r)(E,1)/r! |
Ω |
0.2944368067402 |
Real period |
R |
10.7022477462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370c1 |
Quadratic twists by: -3 |