Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
46240t |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
42762752000 = 212 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -1 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2312,-41616] |
[a1,a2,a3,a4,a6] |
Generators |
[68:340:1] |
Generators of the group modulo torsion |
j |
3995136/125 |
j-invariant |
L |
6.9365852117355 |
L(r)(E,1)/r! |
Ω |
0.68981802184671 |
Real period |
R |
0.55864856076865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240bj1 92480bk1 46240a1 |
Quadratic twists by: -4 8 17 |