Atkin-Lehner |
2+ 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166a |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
830016 |
Modular degree for the optimal curve |
Δ |
-349538327780655104 = -1 · 222 · 74 · 132 · 593 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ -2 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,167522,10571028] |
[a1,a2,a3,a4,a6] |
Generators |
[12612:366430:27] |
Generators of the group modulo torsion |
j |
216543744151315623/145580311445504 |
j-invariant |
L |
5.5637750903259 |
L(r)(E,1)/r! |
Ω |
0.1905973028246 |
Real period |
R |
2.4326048547118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166i1 |
Quadratic twists by: -7 |