Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470h |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9688224218750 = 2 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10610,-390450] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2259:1] |
Generators of the group modulo torsion |
j |
74565301329/5468750 |
j-invariant |
L |
2.9872064581579 |
L(r)(E,1)/r! |
Ω |
0.47258005156269 |
Real period |
R |
3.1605295740691 |
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 |
67760ba3 76230fe3 42350bu3 59290br3 |
Quadratic twists by: -4 -3 5 -7 |