Atkin-Lehner |
3- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7437a |
Isogeny class |
Conductor |
7437 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
4641399073881 = 33 · 376 · 67 |
Discriminant |
Eigenvalues |
-1 3- 2 4 -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16922,-842325] |
[a1,a2,a3,a4,a6] |
j |
535895843136338593/4641399073881 |
j-invariant |
L |
1.8846293290525 |
L(r)(E,1)/r! |
Ω |
0.41880651756723 |
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 |
118992n1 22311b1 |
Quadratic twists by: -4 -3 |