Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760y |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1947029529600 = 210 · 36 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6936,209664] |
[a1,a2,a3,a4,a6] |
Generators |
[24:240:1] |
Generators of the group modulo torsion |
j |
36042393340516/1901396025 |
j-invariant |
L |
6.7203457025074 |
L(r)(E,1)/r! |
Ω |
0.81939799013846 |
Real period |
R |
1.36692746451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77520e2 116280w2 |
Quadratic twists by: -4 -3 |