Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746bu |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1527323082768 = 24 · 37 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10814,431421] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:897:1] |
Generators of the group modulo torsion |
j |
1630532233/17808 |
j-invariant |
L |
10.768101416098 |
L(r)(E,1)/r! |
Ω |
0.8512342376968 |
Real period |
R |
3.1624965665248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15582e1 6678n1 |
Quadratic twists by: -3 -7 |