Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bg |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-299656106008875 = -1 · 37 · 53 · 77 · 113 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-371028,-86991746] |
[a1,a2,a3,a4,a6] |
j |
-65860951343104/3493875 |
j-invariant |
L |
2.3212811627272 |
L(r)(E,1)/r! |
Ω |
0.096720048446968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085k2 121275dx2 3465s2 |
Quadratic twists by: -3 5 -7 |