Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050bh |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
295488 |
Modular degree for the optimal curve |
Δ |
-2077250940843750 = -1 · 2 · 39 · 56 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52038,-5089719] |
[a1,a2,a3,a4,a6] |
Generators |
[186798:28449895:8] |
Generators of the group modulo torsion |
j |
-997392270041497/132944060214 |
j-invariant |
L |
7.5320085628986 |
L(r)(E,1)/r! |
Ω |
0.15688332511243 |
Real period |
R |
8.0017092930866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150n1 1722g1 |
Quadratic twists by: -3 5 |