Atkin-Lehner |
3- 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21855d |
Isogeny class |
Conductor |
21855 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-14176792125 = -1 · 34 · 53 · 313 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 3 -2 -4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5793,-170267] |
[a1,a2,a3,a4,a6] |
j |
-21494459334022921/14176792125 |
j-invariant |
L |
3.2833465550171 |
L(r)(E,1)/r! |
Ω |
0.27361221291809 |
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 |
65565f1 109275b1 |
Quadratic twists by: -3 5 |