Atkin-Lehner |
2+ 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808g |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-54860647181617152 = -1 · 211 · 310 · 194 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1725176,871662132] |
[a1,a2,a3,a4,a6] |
j |
-277264479143109121778/26787425381649 |
j-invariant |
L |
6.7730115077525 |
L(r)(E,1)/r! |
Ω |
0.33865057559733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26904b2 |
Quadratic twists by: -4 |