Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384h |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37214318592 = 212 · 36 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8888,-319440] |
[a1,a2,a3,a4,a6] |
Generators |
[7370:632610:1] |
Generators of the group modulo torsion |
j |
18959407629625/9085527 |
j-invariant |
L |
5.2833718412012 |
L(r)(E,1)/r! |
Ω |
0.49170764673532 |
Real period |
R |
5.3724727246268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3399a2 |
Quadratic twists by: -4 |