Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bd |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3010390847100 = 22 · 39 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8453,-285119] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:122:1] |
Generators of the group modulo torsion |
j |
3393257824683/152943700 |
j-invariant |
L |
6.0268345385197 |
L(r)(E,1)/r! |
Ω |
0.49929862285097 |
Real period |
R |
1.0058834303919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bs2 8190e2 40950g2 57330dl2 |
Quadratic twists by: -4 -3 5 -7 |