Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200cr |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1346317200 = 24 · 311 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,-15005] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:9:1] [41:81:1] |
Generators of the group modulo torsion |
j |
584362240/4617 |
j-invariant |
L |
7.6702946435133 |
L(r)(E,1)/r! |
Ω |
0.81933399713122 |
Real period |
R |
1.1702026692366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400bt1 11400m1 34200br1 |
Quadratic twists by: -4 -3 5 |