Atkin-Lehner |
3+ 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21489b |
Isogeny class |
Conductor |
21489 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-64638388945469781 = -1 · 32 · 138 · 192 · 293 |
Discriminant |
Eigenvalues |
1 3+ -2 0 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,96159,-4191210] |
[a1,a2,a3,a4,a6] |
j |
98330097544125053543/64638388945469781 |
j-invariant |
L |
0.39786815874675 |
L(r)(E,1)/r! |
Ω |
0.19893407937338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64467m2 |
Quadratic twists by: -3 |