Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3362a |
Isogeny class |
Conductor |
3362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5238110950303376 = 24 · 419 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 -6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5882694,-5494222780] |
[a1,a2,a3,a4,a6] |
Generators |
[-6139818985793722440770565:2985417272000212508425303:4384583469868891334625] |
Generators of the group modulo torsion |
j |
68769820673/16 |
j-invariant |
L |
3.6261137529654 |
L(r)(E,1)/r! |
Ω |
0.096940551597814 |
Real period |
R |
37.40554074841 |
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 |
26896d2 107584e2 30258u2 84050m2 |
Quadratic twists by: -4 8 -3 5 |