Atkin-Lehner |
3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12321j |
Isogeny class |
Conductor |
12321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
36926037 = 36 · 373 |
Discriminant |
Eigenvalues |
-2 3- -2 3 -3 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23421,-1379610] |
[a1,a2,a3,a4,a6] |
Generators |
[-30303:-153:343] |
Generators of the group modulo torsion |
j |
38477541376 |
j-invariant |
L |
2.2841120315701 |
L(r)(E,1)/r! |
Ω |
0.38592080927043 |
Real period |
R |
2.9593014638005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369e2 12321i2 |
Quadratic twists by: -3 37 |