Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520s |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
636284160 = 28 · 34 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-396,-2916] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:12:1] |
Generators of the group modulo torsion |
j |
26894628304/2485485 |
j-invariant |
L |
8.1503913011721 |
L(r)(E,1)/r! |
Ω |
1.0763345084927 |
Real period |
R |
1.8930897499437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760q2 |
Quadratic twists by: -4 |