Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bk |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.4519826768524E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6207217,-5926188625] |
[a1,a2,a3,a4,a6] |
Generators |
[4531:242880:1] |
Generators of the group modulo torsion |
j |
1614338586864664479952/8862198955398009 |
j-invariant |
L |
7.58747548391 |
L(r)(E,1)/r! |
Ω |
0.095679492854184 |
Real period |
R |
4.9563099010179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997218 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57408ca2 7176c2 |
Quadratic twists by: -4 8 |