Atkin-Lehner |
2+ 3+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478g |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
914456953021248 = 26 · 38 · 72 · 13 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-220549,-39931763] |
[a1,a2,a3,a4,a6] |
Generators |
[27183:730631:27] |
Generators of the group modulo torsion |
j |
1186429858270662364633/914456953021248 |
j-invariant |
L |
4.0681988676691 |
L(r)(E,1)/r! |
Ω |
0.22031451925719 |
Real period |
R |
4.6163535673743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434bn4 |
Quadratic twists by: -3 |