Atkin-Lehner |
2- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
1786f |
Isogeny class |
Conductor |
1786 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-1375305728 = -1 · 215 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 1 -2 3 -6 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4899,131585] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:377:1] |
Generators of the group modulo torsion |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
4.2991569253826 |
L(r)(E,1)/r! |
Ω |
1.4587882328362 |
Real period |
R |
0.098235801208426 |
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 |
14288d1 57152e1 16074b1 44650b1 |
Quadratic twists by: -4 8 -3 5 |