Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050t |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1745843240234375000 = -1 · 23 · 512 · 197 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-270938,83570492] |
[a1,a2,a3,a4,a6] |
Generators |
[1322:44464:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
9.0892411337046 |
L(r)(E,1)/r! |
Ω |
0.24326788113512 |
Real period |
R |
1.5567956558995 |
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 |
3610e1 950b1 |
Quadratic twists by: 5 -19 |