Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478ce |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10644411664247508 = 22 · 38 · 79 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-152342,22278143] |
[a1,a2,a3,a4,a6] |
Generators |
[12909:1459645:1] |
Generators of the group modulo torsion |
j |
9689480404759/263778444 |
j-invariant |
L |
11.193886906915 |
L(r)(E,1)/r! |
Ω |
0.40415357246198 |
Real period |
R |
6.9242779833169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000153839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128478cu2 |
Quadratic twists by: -7 |