Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46728n |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3996926208 = 28 · 37 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,-398] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:18:1] |
Generators of the group modulo torsion |
j |
37642192/21417 |
j-invariant |
L |
6.1412667583671 |
L(r)(E,1)/r! |
Ω |
1.1545348692812 |
Real period |
R |
1.3298140493127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456o1 15576d1 |
Quadratic twists by: -4 -3 |