Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478l |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-2140250314752 = -1 · 211 · 36 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11+ 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2640,-47872] |
[a1,a2,a3,a4,a6] |
j |
21414159/22528 |
j-invariant |
L |
2.6795401312125 |
L(r)(E,1)/r! |
Ω |
0.44659001600472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942q1 71478cc1 |
Quadratic twists by: -3 -19 |