Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fa |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
38555158118400 = 216 · 34 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258721,50737345] |
[a1,a2,a3,a4,a6] |
Generators |
[309:448:1] [-427:9120:1] |
Generators of the group modulo torsion |
j |
29224056825643684/588305025 |
j-invariant |
L |
9.0664231120342 |
L(r)(E,1)/r! |
Ω |
0.59703572065616 |
Real period |
R |
1.8982162202409 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999253 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920ce4 18480bf3 |
Quadratic twists by: -4 8 |