Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713k |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.8486666635841E+26 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,112649427,464894363790] |
[a1,a2,a3,a4,a6] |
j |
216861842158814408229173807/253589391438141377944269 |
j-invariant |
L |
1.8210023451239 |
L(r)(E,1)/r! |
Ω |
0.037937548856905 |
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 |
11571j2 |
Quadratic twists by: -3 |