Atkin-Lehner |
2- 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
89460d |
Isogeny class |
Conductor |
89460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5512320 |
Modular degree for the optimal curve |
Δ |
-1.6209476017875E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 3 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15019968,-22488922892] |
[a1,a2,a3,a4,a6] |
j |
-2007997837278661574656/8685633154296875 |
j-invariant |
L |
3.7567818445613 |
L(r)(E,1)/r! |
Ω |
0.038334508692254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940g1 |
Quadratic twists by: -3 |