Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255g |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.473405514393E+23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16954328,-12220885988] |
[a1,a2,a3,a4,a6] |
j |
232747967939865867/106810953528125 |
j-invariant |
L |
0.31089608891866 |
L(r)(E,1)/r! |
Ω |
0.077724022229685 |
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 |
24255w2 121275r2 3465d2 |
Quadratic twists by: -3 5 -7 |