Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18081b |
Isogeny class |
Conductor |
18081 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-465304210749 = -1 · 39 · 73 · 413 |
Discriminant |
Eigenvalues |
1 3+ 3 7- 4 -3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-933,34838] |
[a1,a2,a3,a4,a6] |
j |
-13312053/68921 |
j-invariant |
L |
3.2440089170402 |
L(r)(E,1)/r! |
Ω |
0.81100222926006 |
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 |
18081f1 18081e1 |
Quadratic twists by: -3 -7 |