Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450bv |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-14010468750000 = -1 · 24 · 37 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 6 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8555,355947] |
[a1,a2,a3,a4,a6] |
j |
-9725425/1968 |
j-invariant |
L |
5.4019846687699 |
L(r)(E,1)/r! |
Ω |
0.67524808359624 |
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 |
6150b1 18450ba1 |
Quadratic twists by: -3 5 |