Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240bb |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1180650240000 = 211 · 32 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3696,67680] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1650:1] |
Generators of the group modulo torsion |
j |
2727138195938/576489375 |
j-invariant |
L |
4.7745388441397 |
L(r)(E,1)/r! |
Ω |
0.81870780104176 |
Real period |
R |
2.9158991999736 |
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 |
18480i3 73920bh4 27720s4 46200j4 |
Quadratic twists by: -4 8 -3 5 |