Atkin-Lehner |
2+ 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9130d |
Isogeny class |
Conductor |
9130 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2292314750000 = 24 · 56 · 113 · 832 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113363,14681406] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:4312:1] |
Generators of the group modulo torsion |
j |
161113597936462204201/2292314750000 |
j-invariant |
L |
1.8408346270037 |
L(r)(E,1)/r! |
Ω |
0.74819346095521 |
Real period |
R |
1.2301862573441 |
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 |
73040q2 82170br2 45650x2 100430bn2 |
Quadratic twists by: -4 -3 5 -11 |