Atkin-Lehner |
2+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
11570a |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-535459600 = -1 · 24 · 52 · 132 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -6 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35,1125] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] [5:30:1] |
Generators of the group modulo torsion |
j |
-4818245769/535459600 |
j-invariant |
L |
4.5134331332632 |
L(r)(E,1)/r! |
Ω |
1.3504113493902 |
Real period |
R |
0.83556635082011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92560i2 104130bv2 57850t2 |
Quadratic twists by: -4 -3 5 |