Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ec |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
242947069592629248 = 212 · 314 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-679899,-214474678] |
[a1,a2,a3,a4,a6] |
j |
6570725617/45927 |
j-invariant |
L |
2.6612839649726 |
L(r)(E,1)/r! |
Ω |
0.16633031079429 |
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 |
7623p4 40656bk3 1008k4 |
Quadratic twists by: -4 -3 -11 |