Atkin-Lehner |
3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12321d |
Isogeny class |
Conductor |
12321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-998001 = -1 · 36 · 372 |
Discriminant |
Eigenvalues |
1 3- 1 2 2 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14964,708317] |
[a1,a2,a3,a4,a6] |
j |
-371323264041 |
j-invariant |
L |
3.6603797255981 |
L(r)(E,1)/r! |
Ω |
1.830189862799 |
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 |
1369c2 12321e2 |
Quadratic twists by: -3 37 |