Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720h |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
471409424640000 = 211 · 314 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18480243,30578038958] |
[a1,a2,a3,a4,a6] |
Generators |
[3926:136154:1] |
Generators of the group modulo torsion |
j |
467508233804095622882/315748125 |
j-invariant |
L |
4.9506212543003 |
L(r)(E,1)/r! |
Ω |
0.32476187342915 |
Real period |
R |
7.6219249538545 |
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 |
55440m6 9240y5 |
Quadratic twists by: -4 -3 |