Atkin-Lehner |
2+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30544c |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35584 |
Modular degree for the optimal curve |
Δ |
-44960768 = -1 · 210 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 1 -4 3 -1 6 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4600,118564] |
[a1,a2,a3,a4,a6] |
Generators |
[30:92:1] |
Generators of the group modulo torsion |
j |
-10514573445604/43907 |
j-invariant |
L |
5.315451960924 |
L(r)(E,1)/r! |
Ω |
1.7800965893073 |
Real period |
R |
0.37325586662355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15272j1 122176bf1 |
Quadratic twists by: -4 8 |