Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3393g |
Isogeny class |
Conductor |
3393 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103612041 = 36 · 132 · 292 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119,118] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:26:1] |
Generators of the group modulo torsion |
j |
253636137/142129 |
j-invariant |
L |
2.6137246175405 |
L(r)(E,1)/r! |
Ω |
1.6300975104656 |
Real period |
R |
1.6034161151463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54288bo2 377a2 84825m2 44109s2 |
Quadratic twists by: -4 -3 5 13 |