Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414cp |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2304426179774039328 = 25 · 36 · 72 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-334283,14213819] |
[a1,a2,a3,a4,a6] |
Generators |
[999:25510:1] |
Generators of the group modulo torsion |
j |
234770924809/130960928 |
j-invariant |
L |
10.520574177814 |
L(r)(E,1)/r! |
Ω |
0.22418714100592 |
Real period |
R |
2.3463821632693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046c2 2142t2 |
Quadratic twists by: -3 17 |