Atkin-Lehner |
2- 3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
34170n |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.7746860534668E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,900899,46991855] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:6835:8] |
Generators of the group modulo torsion |
j |
80863399763408151371951/47746860534667968750 |
j-invariant |
L |
9.2282212278292 |
L(r)(E,1)/r! |
Ω |
0.12244059824347 |
Real period |
R |
6.2807471270535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102510h2 |
Quadratic twists by: -3 |