Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342v |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.569245685714E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3799342,-2479756069] |
[a1,a2,a3,a4,a6] |
j |
3423676911662954233/483711578981136 |
j-invariant |
L |
1.7464496680397 |
L(r)(E,1)/r! |
Ω |
0.10915310425248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736dj2 37026m2 1122b2 |
Quadratic twists by: -4 -3 -11 |