Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720j |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
339417540730944000 = 29 · 322 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2047683,1127477882] |
[a1,a2,a3,a4,a6] |
Generators |
[100882:11258611:8] |
Generators of the group modulo torsion |
j |
2543984126301795848/909361981125 |
j-invariant |
L |
5.6839677184322 |
L(r)(E,1)/r! |
Ω |
0.2981699800926 |
Real period |
R |
9.5314218364085 |
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 |
18720l2 37440ff4 6240z2 93600dp4 |
Quadratic twists by: -4 8 -3 5 |