Atkin-Lehner |
3+ 7- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24969a |
Isogeny class |
Conductor |
24969 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-9.8005994330627E+19 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2014894,-1200309317] |
[a1,a2,a3,a4,a6] |
j |
-904650150460485060254953/98005994330626639467 |
j-invariant |
L |
3.4005804097798 |
L(r)(E,1)/r! |
Ω |
0.062973711292221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74907f3 |
Quadratic twists by: -3 |