Atkin-Lehner |
2- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320bm |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
217827500000000 = 28 · 510 · 11 · 892 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-465740,122181400] |
[a1,a2,a3,a4,a6] |
j |
43643070311526797776/850888671875 |
j-invariant |
L |
2.5818222507216 |
L(r)(E,1)/r! |
Ω |
0.51636445710557 |
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 |
19580a2 |
Quadratic twists by: -4 |