Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30900j |
Isogeny class |
Conductor |
30900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-2346468750000 = -1 · 24 · 36 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3167,-25912] |
[a1,a2,a3,a4,a6] |
j |
112377856/75087 |
j-invariant |
L |
4.1854344989492 |
L(r)(E,1)/r! |
Ω |
0.465048277661 |
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 |
123600bq1 92700q1 30900e1 |
Quadratic twists by: -4 -3 5 |