Atkin-Lehner |
2+ 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870l |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.2044520942141E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11847729,-15859129148] |
[a1,a2,a3,a4,a6] |
j |
-183920015432485836803123209/2204452094214144000000 |
j-invariant |
L |
0.73185207446856 |
L(r)(E,1)/r! |
Ω |
0.040658448581587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56610ba3 94350bd3 |
Quadratic twists by: -3 5 |