Atkin-Lehner |
2- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
27740a |
Isogeny class |
Conductor |
27740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
648006400 = 28 · 52 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223,-378] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:18:1] [-9:30:1] |
Generators of the group modulo torsion |
j |
4790692944/2531275 |
j-invariant |
L |
7.423174047552 |
L(r)(E,1)/r! |
Ω |
1.3111144546728 |
Real period |
R |
1.8872428264105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110960l2 |
Quadratic twists by: -4 |