Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58824i |
Isogeny class |
Conductor |
58824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.3008513860354E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16387275,-25154290154] |
[a1,a2,a3,a4,a6] |
j |
651953246915592062500/11119753335631203 |
j-invariant |
L |
1.2018275928926 |
L(r)(E,1)/r! |
Ω |
0.075114224561986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648a2 19608d2 |
Quadratic twists by: -4 -3 |