Atkin-Lehner |
2- 3+ 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bc |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-76162318923708000 = -1 · 25 · 39 · 53 · 233 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133598,23045581] |
[a1,a2,a3,a4,a6] |
Generators |
[253:2195:1] |
Generators of the group modulo torsion |
j |
-13397668941162843/3869446676000 |
j-invariant |
L |
8.2026026339243 |
L(r)(E,1)/r! |
Ω |
0.32632672789835 |
Real period |
R |
0.83787218292617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010h1 |
Quadratic twists by: -3 |