Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026j |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5623958033891056728 = 23 · 313 · 1110 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1727487801,27636140011189] |
[a1,a2,a3,a4,a6] |
Generators |
[4787965557075:-63521893479644:190109375] |
Generators of the group modulo torsion |
j |
441453577446719855661097/4354701912 |
j-invariant |
L |
4.9825668444783 |
L(r)(E,1)/r! |
Ω |
0.12019695731638 |
Real period |
R |
20.726676264208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342w3 3366m3 |
Quadratic twists by: -3 -11 |