Atkin-Lehner |
2+ 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256q |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
46696925184 = 211 · 3 · 7 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11744,-485856] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:10:1] |
Generators of the group modulo torsion |
j |
87473975988674/22801233 |
j-invariant |
L |
3.920993307874 |
L(r)(E,1)/r! |
Ω |
0.45861605666034 |
Real period |
R |
2.1374051622867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128bc4 |
Quadratic twists by: -4 |