Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120v |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
489216 |
Modular degree for the optimal curve |
Δ |
-135329031604209520 = -1 · 24 · 5 · 72 · 1113 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,117640,-8450345] |
[a1,a2,a3,a4,a6] |
Generators |
[952748544280487:-22458040523718731:6559155588959] |
Generators of the group modulo torsion |
j |
229651351304189696/172613560719655 |
j-invariant |
L |
4.7155387334969 |
L(r)(E,1)/r! |
Ω |
0.18347102091814 |
Real period |
R |
25.701817703412 |
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 |
21560w1 43120c1 |
Quadratic twists by: -4 -7 |