Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470h |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
217016222500 = 22 · 54 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2140,31356] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:276:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
2.9872064581579 |
L(r)(E,1)/r! |
Ω |
0.94516010312538 |
Real period |
R |
1.5802647870345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67760ba2 76230fe2 42350bu2 59290br2 |
Quadratic twists by: -4 -3 5 -7 |