Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480n |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3148400640 = 211 · 3 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4520,-115440] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:2:1] |
Generators of the group modulo torsion |
j |
4987755354962/1537305 |
j-invariant |
L |
3.960409133265 |
L(r)(E,1)/r! |
Ω |
0.58225734042079 |
Real period |
R |
1.7004547896309 |
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 |
9240p3 73920gj4 55440j4 92400cp4 |
Quadratic twists by: -4 8 -3 5 |