Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642m |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
16848 |
Modular degree for the optimal curve |
Δ |
-288894516246 = -1 · 2 · 313 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4163,-106900] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5071:1] |
Generators of the group modulo torsion |
j |
-162778443933049/5895806454 |
j-invariant |
L |
4.4594933457914 |
L(r)(E,1)/r! |
Ω |
0.29655658502853 |
Real period |
R |
0.5783684581532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136bo1 37926bq1 12642a1 |
Quadratic twists by: -4 -3 -7 |