Atkin-Lehner |
2- 3+ 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010ba |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
-3.3857809478198E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,797527,-56978583] |
[a1,a2,a3,a4,a6] |
j |
2077766037183976773453/1253992943636971520 |
j-invariant |
L |
4.3338259402418 |
L(r)(E,1)/r! |
Ω |
0.12038405371388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89010f1 |
Quadratic twists by: -3 |