Atkin-Lehner |
2- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43624f |
Isogeny class |
Conductor |
43624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
856404468054016 = 211 · 75 · 192 · 413 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ -2 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92016,-10681504] |
[a1,a2,a3,a4,a6] |
Generators |
[1087:34276:1] |
Generators of the group modulo torsion |
j |
42071551720291298/418166244167 |
j-invariant |
L |
5.2540980512924 |
L(r)(E,1)/r! |
Ω |
0.27427989002987 |
Real period |
R |
3.1926620958313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248i1 |
Quadratic twists by: -4 |