Atkin-Lehner |
2+ 3+ 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270v |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
178270563240000 = 26 · 32 · 54 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-211942,37461844] |
[a1,a2,a3,a4,a6] |
Generators |
[8076:-30218:27] |
Generators of the group modulo torsion |
j |
1052877872708255036521/178270563240000 |
j-invariant |
L |
4.5145565754957 |
L(r)(E,1)/r! |
Ω |
0.55214571328478 |
Real period |
R |
0.51102413580233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810do2 |
Quadratic twists by: -3 |