Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905b |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-74135664409456125 = -1 · 34 · 53 · 712 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39813,13435542] |
[a1,a2,a3,a4,a6] |
j |
-59323563117001/630142750125 |
j-invariant |
L |
1.1752199139297 |
L(r)(E,1)/r! |
Ω |
0.29380497848242 |
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 |
50715bs2 84525cm2 2415g2 |
Quadratic twists by: -3 5 -7 |