Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320j |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-13352947200 = -1 · 29 · 39 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-9322] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-270:1] |
Generators of the group modulo torsion |
j |
-111980168/35775 |
j-invariant |
L |
5.4957292092626 |
L(r)(E,1)/r! |
Ω |
0.45296514602877 |
Real period |
R |
0.75829912867235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76320i1 25440y1 |
Quadratic twists by: -4 -3 |