Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bz |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.2694047709594E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 11- 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14349592,17867259188] |
[a1,a2,a3,a4,a6] |
Generators |
[47676:5959250:27] |
Generators of the group modulo torsion |
j |
2882081488391/2883584000 |
j-invariant |
L |
4.9641808705375 |
L(r)(E,1)/r! |
Ω |
0.063513535144872 |
Real period |
R |
4.8849635546057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050h2 9680s2 4400l2 |
Quadratic twists by: -4 5 -11 |