Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1640b |
Isogeny class |
Conductor |
1640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
134480 = 24 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,20] |
[a1,a2,a3,a4,a6] |
j |
24918016/8405 |
j-invariant |
L |
3.021685461043 |
L(r)(E,1)/r! |
Ω |
3.021685461043 |
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 |
3280d1 13120f1 14760r1 8200h1 |
Quadratic twists by: -4 8 -3 5 |