Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048j |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1921385152512 = -1 · 214 · 36 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -2 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3019,-20307] |
[a1,a2,a3,a4,a6] |
j |
185673211904/117272043 |
j-invariant |
L |
3.8231806178254 |
L(r)(E,1)/r! |
Ω |
0.4778975741051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90048bx1 5628f1 |
Quadratic twists by: -4 8 |