Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450dh |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
6394500 = 22 · 32 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-158,-768] |
[a1,a2,a3,a4,a6] |
j |
3491055413/51156 |
j-invariant |
L |
5.3909634297248 |
L(r)(E,1)/r! |
Ω |
1.347740857431 |
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 |
91350cq1 30450r1 |
Quadratic twists by: -3 5 |