Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200bb |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71509739120000000 = 210 · 57 · 197 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18293675,-30116154250] |
[a1,a2,a3,a4,a6] |
Generators |
[-719841632718:-1584702638:291434247] |
Generators of the group modulo torsion |
j |
899466517764/95 |
j-invariant |
L |
4.2640867114112 |
L(r)(E,1)/r! |
Ω |
0.073000244988403 |
Real period |
R |
14.602987671102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440e3 3800a4 |
Quadratic twists by: 5 -19 |