Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bz |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-70597632 = -1 · 210 · 3 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 5 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1057,12887] |
[a1,a2,a3,a4,a6] |
j |
-127661377792/68943 |
j-invariant |
L |
5.7690036962044 |
L(r)(E,1)/r! |
Ω |
1.9230012279198 |
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 |
90048d1 22512f1 |
Quadratic twists by: -4 8 |