Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bu |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.392504880047E+26 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,117005992,291632275988] |
[a1,a2,a3,a4,a6] |
Generators |
[76809462914388:12973477230122950:10374495741] |
Generators of the group modulo torsion |
j |
106718863559/83886080 |
j-invariant |
L |
6.6980376075899 |
L(r)(E,1)/r! |
Ω |
0.037416340066229 |
Real period |
R |
22.37671294057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050f2 9680bb2 48400bw2 |
Quadratic twists by: -4 5 -11 |