Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888q |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110080 |
Modular degree for the optimal curve |
Δ |
-1736278585344 = -1 · 212 · 33 · 17 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 3 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2256,75632] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:279:1] |
Generators of the group modulo torsion |
j |
-11481993216/15699857 |
j-invariant |
L |
8.0284688164284 |
L(r)(E,1)/r! |
Ω |
0.75592007015835 |
Real period |
R |
1.3275988319668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4743a1 75888s1 |
Quadratic twists by: -4 -3 |