Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898ca |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-150292140109850024 = -1 · 23 · 116 · 139 |
Discriminant |
Eigenvalues |
2- -1 3 -3 11- 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,60921,17756773] |
[a1,a2,a3,a4,a6] |
j |
1331/8 |
j-invariant |
L |
2.8240994134403 |
L(r)(E,1)/r! |
Ω |
0.23534161777998 |
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 |
338d1 40898x1 |
Quadratic twists by: -11 13 |