Atkin-Lehner |
2+ 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530o |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2553000 = -1 · 23 · 3 · 53 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-529899,-148513634] |
[a1,a2,a3,a4,a6] |
j |
-16455149554624868651689/2553000 |
j-invariant |
L |
0.79627648677871 |
L(r)(E,1)/r! |
Ω |
0.088475165197624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76590ci2 127650by2 |
Quadratic twists by: -3 5 |