Atkin-Lehner |
2- 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760q |
Isogeny class |
Conductor |
38760 |
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 |
[-16:70:1] [-10:76:1] |
Generators of the group modulo torsion |
j |
26894628304/2485485 |
j-invariant |
L |
7.1077796752535 |
L(r)(E,1)/r! |
Ω |
1.5787394696526 |
Real period |
R |
1.1255466484313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520s2 116280v2 |
Quadratic twists by: -4 -3 |