Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728o |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
109625177088 = 210 · 310 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2093,-32547] |
[a1,a2,a3,a4,a6] |
j |
990692608000/107055837 |
j-invariant |
L |
1.4215135281897 |
L(r)(E,1)/r! |
Ω |
0.71075676403267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dz1 6216u1 |
Quadratic twists by: -4 8 |