Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400bl |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
117153216000 = 29 · 310 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1248,3708] |
[a1,a2,a3,a4,a6] |
Generators |
[39:126:1] |
Generators of the group modulo torsion |
j |
3361517992/1830519 |
j-invariant |
L |
10.046461985787 |
L(r)(E,1)/r! |
Ω |
0.91486352330477 |
Real period |
R |
2.1962755603756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400ch2 74400cc2 |
Quadratic twists by: -4 5 |