Atkin-Lehner |
3+ 7- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24969a |
Isogeny class |
Conductor |
24969 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
159840 |
Modular degree for the optimal curve |
Δ |
99101961 = 35 · 73 · 29 · 41 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2064624,-1142712045] |
[a1,a2,a3,a4,a6] |
j |
973300519386123398861833/99101961 |
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 |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74907f1 |
Quadratic twists by: -3 |