Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486w |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-384896432934 = -1 · 2 · 38 · 135 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 5 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7781,-263901] |
[a1,a2,a3,a4,a6] |
j |
-71457875870473/527978646 |
j-invariant |
L |
5.0810494799555 |
L(r)(E,1)/r! |
Ω |
0.25405247399777 |
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 |
6162b1 |
Quadratic twists by: -3 |