Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720l |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
16 |
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 |
[3786:213044:1] |
Generators of the group modulo torsion |
j |
2543984126301795848/909361981125 |
j-invariant |
L |
3.6116047780489 |
L(r)(E,1)/r! |
Ω |
0.12620983241312 |
Real period |
R |
7.1539687300808 |
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 |
18720j3 37440fj4 6240bf3 93600dn4 |
Quadratic twists by: -4 8 -3 5 |