Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608v |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-356528729088 = -1 · 210 · 39 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1080,-25272] |
[a1,a2,a3,a4,a6] |
Generators |
[82:784:1] |
Generators of the group modulo torsion |
j |
6912000/17689 |
j-invariant |
L |
5.8690316238925 |
L(r)(E,1)/r! |
Ω |
0.49346550409927 |
Real period |
R |
2.9733748232013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cs1 9576c1 76608u1 |
Quadratic twists by: -4 8 -3 |