Atkin-Lehner |
2+ 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9130d |
Isogeny class |
Conductor |
9130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
368265636562841600 = 212 · 52 · 11 · 836 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-180738,-4726444] |
[a1,a2,a3,a4,a6] |
Generators |
[525:6457:1] |
Generators of the group modulo torsion |
j |
652933083576785506201/368265636562841600 |
j-invariant |
L |
1.8408346270037 |
L(r)(E,1)/r! |
Ω |
0.2493978203184 |
Real period |
R |
3.6905587720324 |
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 |
73040q4 82170br4 45650x4 100430bn4 |
Quadratic twists by: -4 -3 5 -11 |