Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400z |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.29687123005E+19 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-690708,-136875088] |
[a1,a2,a3,a4,a6] |
Generators |
[274444330024:2586769361748:286191179] |
Generators of the group modulo torsion |
j |
41141648/14641 |
j-invariant |
L |
10.046875395832 |
L(r)(E,1)/r! |
Ω |
0.17047976916514 |
Real period |
R |
14.733237036035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200r2 48400bd2 4400j2 |
Quadratic twists by: -4 5 -11 |