Atkin-Lehner |
2+ 5- 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18290d |
Isogeny class |
Conductor |
18290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-22498163200 = -1 · 29 · 52 · 313 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6689,-209027] |
[a1,a2,a3,a4,a6] |
j |
-33101206281774441/22498163200 |
j-invariant |
L |
1.5836520372486 |
L(r)(E,1)/r! |
Ω |
0.2639420062081 |
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 |
91450n1 |
Quadratic twists by: 5 |