Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822c |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
6722144308445184 = 214 · 33 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50186,1758420] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:2414:1] [207:438:1] |
Generators of the group modulo torsion |
j |
297141543217/142884864 |
j-invariant |
L |
4.6083094545194 |
L(r)(E,1)/r! |
Ω |
0.37516702977273 |
Real period |
R |
6.1416770249114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466bt1 1938h1 |
Quadratic twists by: -3 -19 |