Atkin-Lehner |
3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1443d |
Isogeny class |
Conductor |
1443 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
38883116961 = 310 · 13 · 373 |
Discriminant |
Eigenvalues |
1 3+ 2 2 4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13799,618120] |
[a1,a2,a3,a4,a6] |
j |
290613464285776633/38883116961 |
j-invariant |
L |
2.2191237151748 |
L(r)(E,1)/r! |
Ω |
1.1095618575874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088t1 92352v1 4329f1 36075n1 |
Quadratic twists by: -4 8 -3 5 |