Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bh |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
153171648 = 26 · 36 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,462] |
[a1,a2,a3,a4,a6] |
Generators |
[-668:1813:64] |
Generators of the group modulo torsion |
j |
6108415552/2393307 |
j-invariant |
L |
7.8458911229555 |
L(r)(E,1)/r! |
Ω |
1.6613997188737 |
Real period |
R |
4.7224584430954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bu1 45024f2 |
Quadratic twists by: -4 8 |