Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ga |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9417779503E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-843208,144229912] |
[a1,a2,a3,a4,a6] |
j |
1643032/729 |
j-invariant |
L |
3.3904522679703 |
L(r)(E,1)/r! |
Ω |
0.18835844353101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600eb2 117600dz2 117600ib2 |
Quadratic twists by: -4 5 -7 |