Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24684g |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
524750540688 = 24 · 32 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2218,-20803] |
[a1,a2,a3,a4,a6] |
j |
352000/153 |
j-invariant |
L |
1.4475807365025 |
L(r)(E,1)/r! |
Ω |
0.72379036825125 |
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 |
98736br1 74052q1 24684l1 |
Quadratic twists by: -4 -3 -11 |