Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478a |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2298240 |
Modular degree for the optimal curve |
Δ |
-3.5771433732723E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 11+ 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,798645,-85857211] |
[a1,a2,a3,a4,a6] |
Generators |
[633731:29770138:343] |
Generators of the group modulo torsion |
j |
8869743/5632 |
j-invariant |
L |
3.4268751725865 |
L(r)(E,1)/r! |
Ω |
0.11830882246646 |
Real period |
R |
7.2413770589998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71478bl1 71478bi1 |
Quadratic twists by: -3 -19 |