Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bj |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
318737054160 = 24 · 314 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12738,-552683] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:23:1] |
Generators of the group modulo torsion |
j |
19596564207616/27326565 |
j-invariant |
L |
5.2973567704965 |
L(r)(E,1)/r! |
Ω |
0.44942850279898 |
Real period |
R |
2.9467182975193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680w1 14280x1 |
Quadratic twists by: -4 -3 |