Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256by |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
429115325184 = 28 · 35 · 74 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22244,-1269156] |
[a1,a2,a3,a4,a6] |
Generators |
[-678:87:8] |
Generators of the group modulo torsion |
j |
4754905936877392/1676231739 |
j-invariant |
L |
3.604669614555 |
L(r)(E,1)/r! |
Ω |
0.39093440594324 |
Real period |
R |
4.6103253629364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564i2 |
Quadratic twists by: -4 |