Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fs |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
172935198277632 = 220 · 311 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52716,4615504] |
[a1,a2,a3,a4,a6] |
Generators |
[101:567:1] |
Generators of the group modulo torsion |
j |
84778086457/904932 |
j-invariant |
L |
6.0179397245302 |
L(r)(E,1)/r! |
Ω |
0.57402186954236 |
Real period |
R |
1.3104770139336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bj1 19152bt1 25536dn1 |
Quadratic twists by: -4 8 -3 |