Atkin-Lehner |
3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6699b |
Isogeny class |
Conductor |
6699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
163381911 = 3 · 7 · 11 · 294 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1249,-17510] |
[a1,a2,a3,a4,a6] |
j |
215751695207833/163381911 |
j-invariant |
L |
1.6060661064097 |
L(r)(E,1)/r! |
Ω |
0.80303305320486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184co4 20097g3 46893n4 73689r4 |
Quadratic twists by: -4 -3 -7 -11 |