Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480df |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
661164134400 = 212 · 32 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4320,-103500] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:84:1] |
Generators of the group modulo torsion |
j |
2177286259681/161417025 |
j-invariant |
L |
6.5606418852396 |
L(r)(E,1)/r! |
Ω |
0.59162935729552 |
Real period |
R |
2.7722770195304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1155e2 73920ew2 55440dr2 92400dk2 |
Quadratic twists by: -4 8 -3 5 |