Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664a |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
62738432 = 212 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 0 0 0 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260,-1568] |
[a1,a2,a3,a4,a6] |
Generators |
[1188:85:64] |
Generators of the group modulo torsion |
j |
474552000/15317 |
j-invariant |
L |
5.5769820817863 |
L(r)(E,1)/r! |
Ω |
1.1912831701634 |
Real period |
R |
4.6814915391315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664b2 28832c1 |
Quadratic twists by: -4 8 |