Atkin-Lehner |
2+ 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6726a |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5194524657468096 = -1 · 26 · 34 · 198 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4296,3467520] |
[a1,a2,a3,a4,a6] |
j |
-8771512327251337/5194524657468096 |
j-invariant |
L |
0.69697079579125 |
L(r)(E,1)/r! |
Ω |
0.34848539789562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53808w3 20178n4 127794br3 |
Quadratic twists by: -4 -3 -19 |