Atkin-Lehner |
2- 3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6726d |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22201217715536658 = -1 · 2 · 36 · 192 · 596 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111675,16007211] |
[a1,a2,a3,a4,a6] |
j |
-154025220294544561201/22201217715536658 |
j-invariant |
L |
0.73757162465042 |
L(r)(E,1)/r! |
Ω |
0.36878581232521 |
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 |
53808ba2 20178d2 127794z2 |
Quadratic twists by: -4 -3 -19 |