Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720h |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
588066323573836800 = 210 · 37 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-749523,-247021378] |
[a1,a2,a3,a4,a6] |
Generators |
[-506:1638:1] |
Generators of the group modulo torsion |
j |
62380825826921284/787768887675 |
j-invariant |
L |
4.9506212543003 |
L(r)(E,1)/r! |
Ω |
0.16238093671457 |
Real period |
R |
3.8109624769272 |
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 |
55440m3 9240y4 |
Quadratic twists by: -4 -3 |