Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190b |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
72981352080 = 24 · 33 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8790,319140] |
[a1,a2,a3,a4,a6] |
Generators |
[2958:53667:8] |
Generators of the group modulo torsion |
j |
2781982314427707/2703013040 |
j-invariant |
L |
3.3185010511692 |
L(r)(E,1)/r! |
Ω |
1.0864106679456 |
Real period |
R |
4.5818323803529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
65520bw1 8190bf3 40950cy1 57330j1 |
Quadratic twists by: -4 -3 5 -7 |