Atkin-Lehner |
2- 3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270u |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1056565215000 = -1 · 23 · 36 · 54 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5693,173981] |
[a1,a2,a3,a4,a6] |
j |
-27986475935881/1449335000 |
j-invariant |
L |
5.1834519693124 |
L(r)(E,1)/r! |
Ω |
0.86390865906887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030e1 |
Quadratic twists by: -3 |