Atkin-Lehner |
2+ 3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630n |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-769672956612096000 = -1 · 212 · 312 · 53 · 19 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2167605,1229606325] |
[a1,a2,a3,a4,a6] |
Generators |
[2106:76419:1] |
Generators of the group modulo torsion |
j |
-1545029332263500838481/1055792807424000 |
j-invariant |
L |
4.8708845639636 |
L(r)(E,1)/r! |
Ω |
0.28112300007851 |
Real period |
R |
4.3316311367874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30210bn1 |
Quadratic twists by: -3 |