Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664be |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
64244154368 = 222 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 2 0 -4 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289473,60042593] |
[a1,a2,a3,a4,a6] |
Generators |
[77709:-4100048:27] |
Generators of the group modulo torsion |
j |
10233153213432625/245072 |
j-invariant |
L |
7.536714500595 |
L(r)(E,1)/r! |
Ω |
0.80110053493896 |
Real period |
R |
9.4079509022165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664g2 14416e2 |
Quadratic twists by: -4 8 |