Atkin-Lehner |
2- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9020a |
Isogeny class |
Conductor |
9020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
16272080 = 24 · 5 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,973] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:44:1] |
Generators of the group modulo torsion |
j |
45927972864/1017005 |
j-invariant |
L |
3.8720839547094 |
L(r)(E,1)/r! |
Ω |
2.1988734253068 |
Real period |
R |
1.7609399022907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36080l1 81180o1 45100a1 99220a1 |
Quadratic twists by: -4 -3 5 -11 |