Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ck |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
300234719232 = 214 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6492,-199600] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:7:1] |
Generators of the group modulo torsion |
j |
2533446736/25137 |
j-invariant |
L |
5.2363073896608 |
L(r)(E,1)/r! |
Ω |
0.53218804191883 |
Real period |
R |
2.4598013188815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608eo1 9576m1 25536o1 |
Quadratic twists by: -4 8 -3 |