Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414a |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2774016 |
Modular degree for the optimal curve |
Δ |
-1.6479482915935E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 3 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17872545,29093256829] |
[a1,a2,a3,a4,a6] |
Generators |
[-3763:209372:1] |
Generators of the group modulo torsion |
j |
-80913561311713458589803/21119419346321408 |
j-invariant |
L |
4.4518599738787 |
L(r)(E,1)/r! |
Ω |
0.17714699031051 |
Real period |
R |
6.2827203076867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414br1 36414l1 |
Quadratic twists by: -3 17 |