Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930o |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-144705081497500 = -1 · 22 · 54 · 17 · 237 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4507,588489] |
[a1,a2,a3,a4,a6] |
Generators |
[1968:86301:1] |
Generators of the group modulo torsion |
j |
-68417929/977500 |
j-invariant |
L |
8.3909126207955 |
L(r)(E,1)/r! |
Ω |
0.49110185690168 |
Real period |
R |
2.1357363293591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3910d1 |
Quadratic twists by: -23 |