Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bh |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16481085830488125 = -1 · 37 · 54 · 77 · 114 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21600,6049161] |
[a1,a2,a3,a4,a6] |
j |
12994449551/192163125 |
j-invariant |
L |
2.3211961410378 |
L(r)(E,1)/r! |
Ω |
0.29014951762972 |
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 |
8085w4 121275eo3 3465p4 |
Quadratic twists by: -3 5 -7 |