Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894bd |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-449992391706 = -1 · 2 · 39 · 112 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11- 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6085,-186037] |
[a1,a2,a3,a4,a6] |
Generators |
[742:1411:8] |
Generators of the group modulo torsion |
j |
-24917812899967441/449992391706 |
j-invariant |
L |
12.992049960978 |
L(r)(E,1)/r! |
Ω |
0.26998445123351 |
Real period |
R |
2.6734152655457 |
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 |
110682m1 |
Quadratic twists by: -3 |