Atkin-Lehner |
2- 3+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
36846q |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
31584 |
Modular degree for the optimal curve |
Δ |
-5157260928 = -1 · 27 · 39 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -3 6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2,-3455] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-121:1] |
Generators of the group modulo torsion |
j |
-27/262016 |
j-invariant |
L |
6.3675131876892 |
L(r)(E,1)/r! |
Ω |
0.62415380011789 |
Real period |
R |
0.7287023974913 |
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 |
36846d1 |
Quadratic twists by: -3 |