Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bf |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
32500682293248 = 215 · 33 · 13 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17217,819423] |
[a1,a2,a3,a4,a6] |
Generators |
[314:5145:1] |
Generators of the group modulo torsion |
j |
17225484259976/991842111 |
j-invariant |
L |
11.221454627114 |
L(r)(E,1)/r! |
Ω |
0.64692807908563 |
Real period |
R |
5.7819176381896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102336m3 51168k3 |
Quadratic twists by: -4 8 |