Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240z |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30492327889013760 = -1 · 210 · 34 · 5 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7336,-8407360] |
[a1,a2,a3,a4,a6] |
Generators |
[6888:68248:27] |
Generators of the group modulo torsion |
j |
-42644293386916/29777663954115 |
j-invariant |
L |
4.7840707606439 |
L(r)(E,1)/r! |
Ω |
0.16723527642194 |
Real period |
R |
7.1517069589035 |
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 |
18480f4 73920be3 27720q3 46200h3 |
Quadratic twists by: -4 8 -3 5 |