Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720b |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
512265600000 = 210 · 33 · 55 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199923,34406622] |
[a1,a2,a3,a4,a6] |
Generators |
[247:308:1] |
Generators of the group modulo torsion |
j |
31963054227773868/18528125 |
j-invariant |
L |
5.067419457623 |
L(r)(E,1)/r! |
Ω |
0.76426156856631 |
Real period |
R |
1.6576194806999 |
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 |
55440a2 27720ba2 |
Quadratic twists by: -4 -3 |