Atkin-Lehner |
2- 3+ 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894u |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-7081540813062144 = -1 · 221 · 33 · 112 · 13 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 11+ 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,849,-4048395] |
[a1,a2,a3,a4,a6] |
Generators |
[195:1794:1] |
Generators of the group modulo torsion |
j |
67672903684751/7081540813062144 |
j-invariant |
L |
6.0263394956686 |
L(r)(E,1)/r! |
Ω |
0.19303229481618 |
Real period |
R |
0.24777248429334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682v1 |
Quadratic twists by: -3 |