Atkin-Lehner |
3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1521d |
Isogeny class |
Conductor |
1521 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5352009260481 = 38 · 138 |
Discriminant |
Eigenvalues |
1 3- 2 4 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6876,190867] |
[a1,a2,a3,a4,a6] |
j |
10218313/1521 |
j-invariant |
L |
2.9291777313454 |
L(r)(E,1)/r! |
Ω |
0.73229443283636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24336bt2 97344cg2 507c2 38025bm2 |
Quadratic twists by: -4 8 -3 5 |