Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32868h |
Isogeny class |
Conductor |
32868 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1145516587776 = 28 · 310 · 11 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42519,-3374210] |
[a1,a2,a3,a4,a6] |
Generators |
[2978059751504:-356756985451665:207474688] |
Generators of the group modulo torsion |
j |
45551779131472/6138099 |
j-invariant |
L |
7.0645455535317 |
L(r)(E,1)/r! |
Ω |
0.33247370705775 |
Real period |
R |
21.248433796615 |
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 |
10956c2 |
Quadratic twists by: -3 |