Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840bc |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-48969204480 = -1 · 28 · 38 · 5 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,7796] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-126:1] |
Generators of the group modulo torsion |
j |
210308096/262395 |
j-invariant |
L |
6.7876503689995 |
L(r)(E,1)/r! |
Ω |
0.75727678014299 |
Real period |
R |
0.37346815958293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85680bs1 14280be1 |
Quadratic twists by: -4 -3 |