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 |
deg |
832 |
Modular degree for the optimal curve |
Δ |
180873 = 34 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49,112] |
[a1,a2,a3,a4,a6] |
j |
13430356633/180873 |
j-invariant |
L |
1.6060661064097 |
L(r)(E,1)/r! |
Ω |
3.2121322128194 |
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 |
107184co1 20097g1 46893n1 73689r1 |
Quadratic twists by: -4 -3 -7 -11 |