Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256g |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9817894569240576 = -1 · 211 · 312 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -6 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-201864,35300304] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:7310:1] [210:-1458:1] |
Generators of the group modulo torsion |
j |
-444193843852925714/4793893832637 |
j-invariant |
L |
7.3342285174019 |
L(r)(E,1)/r! |
Ω |
0.40999439117945 |
Real period |
R |
4.4721517386686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128n2 |
Quadratic twists by: -4 |