Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3312n |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1339286347579392 = -1 · 224 · 38 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27285,301466] |
[a1,a2,a3,a4,a6] |
Generators |
[7:702:1] |
Generators of the group modulo torsion |
j |
752329532375/448524288 |
j-invariant |
L |
3.3188166708989 |
L(r)(E,1)/r! |
Ω |
0.29446821159441 |
Real period |
R |
2.817635775462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
414a3 13248bd3 1104g3 82800ee3 |
Quadratic twists by: -4 8 -3 5 |