Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200bb |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8.753546002432E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3634367,3627640863] |
[a1,a2,a3,a4,a6] |
j |
1296134247276791/2137096192000 |
j-invariant |
L |
2.1370258943208 |
L(r)(E,1)/r! |
Ω |
0.089042727110232 |
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 |
123200fn3 3850o3 24640w3 |
Quadratic twists by: -4 8 5 |