Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800do |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2288049516900000000 = 28 · 34 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-906908,324058188] |
[a1,a2,a3,a4,a6] |
Generators |
[718:6600:1] |
Generators of the group modulo torsion |
j |
175293437776/4862025 |
j-invariant |
L |
6.8363020601464 |
L(r)(E,1)/r! |
Ω |
0.25827593490321 |
Real period |
R |
3.3086232282174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400o2 11760f2 8400j2 |
Quadratic twists by: -4 5 -7 |