Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525q |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1.518563464574E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 13- 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1359213,1971486792] |
[a1,a2,a3,a4,a6] |
j |
-17773226067995349769/97188061732734375 |
j-invariant |
L |
2.348948056603 |
L(r)(E,1)/r! |
Ω |
0.13049711425572 |
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 |
55575v1 3705a1 |
Quadratic twists by: -3 5 |