Atkin-Lehner |
3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18675n |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1465427541796875 = -1 · 38 · 58 · 833 |
Discriminant |
Eigenvalues |
1 3- 5- 3 1 4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2367,1842916] |
[a1,a2,a3,a4,a6] |
Generators |
[44:1328:1] |
Generators of the group modulo torsion |
j |
-5151505/5146083 |
j-invariant |
L |
6.9068391997806 |
L(r)(E,1)/r! |
Ω |
0.38607637088486 |
Real period |
R |
1.4908188553365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6225c1 18675m1 |
Quadratic twists by: -3 5 |