Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bw |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3642777600 = -1 · 213 · 3 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,384,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[8:56:1] |
Generators of the group modulo torsion |
j |
1524845951/889350 |
j-invariant |
L |
4.1837923780114 |
L(r)(E,1)/r! |
Ω |
0.82764338962303 |
Real period |
R |
0.63188331328258 |
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 |
2310s2 73920in2 55440ew2 92400gf2 |
Quadratic twists by: -4 8 -3 5 |