Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480u |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3239704258560 = -1 · 211 · 32 · 5 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,86580] |
[a1,a2,a3,a4,a6] |
Generators |
[4:294:1] |
Generators of the group modulo torsion |
j |
-9653618/1581886845 |
j-invariant |
L |
5.4015616454163 |
L(r)(E,1)/r! |
Ω |
0.63428799959612 |
Real period |
R |
1.0644931105538 |
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 |
9240a4 73920fi3 55440bc3 92400x3 |
Quadratic twists by: -4 8 -3 5 |