Atkin-Lehner |
2- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36112d |
Isogeny class |
Conductor |
36112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-790997248 = -1 · 28 · 373 · 61 |
Discriminant |
Eigenvalues |
2- 0 0 0 -5 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58535,-5450942] |
[a1,a2,a3,a4,a6] |
Generators |
[102152985658956888:-1841721363150612959:215913611519488] |
Generators of the group modulo torsion |
j |
-86642428153122000/3089833 |
j-invariant |
L |
4.3618422068049 |
L(r)(E,1)/r! |
Ω |
0.15346722929441 |
Real period |
R |
28.421977948381 |
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 |
9028a1 |
Quadratic twists by: -4 |