Atkin-Lehner |
3+ 7- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24969a |
Isogeny class |
Conductor |
24969 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9.7534576388351E+19 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2114444,-1084731543] |
[a1,a2,a3,a4,a6] |
j |
1045472456842904952823753/97534576388350822203 |
j-invariant |
L |
3.4005804097798 |
L(r)(E,1)/r! |
Ω |
0.12594742258444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74907f4 |
Quadratic twists by: -3 |