Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408p |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
357623365632 = 215 · 3 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2369,34593] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:92:1] [88:707:1] |
Generators of the group modulo torsion |
j |
44890275464/10913799 |
j-invariant |
L |
7.4925057768087 |
L(r)(E,1)/r! |
Ω |
0.89823005825182 |
Real period |
R |
4.1707053265336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bb3 28704k3 |
Quadratic twists by: -4 8 |