Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bw |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.3286574741739E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2261784,2882747700] |
[a1,a2,a3,a4,a6] |
j |
312404265277724598551/1056801141155738160 |
j-invariant |
L |
3.1327282632956 |
L(r)(E,1)/r! |
Ω |
0.097897758227988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730a4 87360fr3 65520ei3 109200di3 |
Quadratic twists by: -4 8 -3 5 |