Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898d |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2223936 |
Modular degree for the optimal curve |
Δ |
-2.0003883848621E+20 |
Discriminant |
Eigenvalues |
2+ -2 3 1 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7249597,-7544452368] |
[a1,a2,a3,a4,a6] |
j |
-1685159/8 |
j-invariant |
L |
1.6556566066818 |
L(r)(E,1)/r! |
Ω |
0.045990461299925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898be1 40898bf1 |
Quadratic twists by: -11 13 |