Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304ba |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-95745579776 = -1 · 28 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,14867] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:98:1] |
Generators of the group modulo torsion |
j |
-1024/3179 |
j-invariant |
L |
7.505648561885 |
L(r)(E,1)/r! |
Ω |
0.85750110901539 |
Real period |
R |
1.0941164510184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1496e1 |
Quadratic twists by: -7 |