Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27489w |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
-77077074092738643 = -1 · 33 · 710 · 112 · 174 |
Discriminant |
Eigenvalues |
2 3- 0 7- 11- -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-92038,-17174909] |
[a1,a2,a3,a4,a6] |
Generators |
[5338:118367:8] |
Generators of the group modulo torsion |
j |
-305245696000/272863107 |
j-invariant |
L |
12.968098568835 |
L(r)(E,1)/r! |
Ω |
0.13213655522501 |
Real period |
R |
4.0892351056678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467t1 27489d1 |
Quadratic twists by: -3 -7 |