Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120p |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
1352243200 = 211 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11+ -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,8800] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:70:1] [12:28:1] |
Generators of the group modulo torsion |
j |
11529602/275 |
j-invariant |
L |
8.0178599145418 |
L(r)(E,1)/r! |
Ω |
1.5201554844005 |
Real period |
R |
0.2197653462869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560q1 43120g1 |
Quadratic twists by: -4 -7 |