Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075m |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
62421699212296875 = 33 · 56 · 116 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33410480,-74323023728] |
[a1,a2,a3,a4,a6] |
Generators |
[-1144465:570004:343] |
Generators of the group modulo torsion |
j |
9776604686860471347243/147962546281 |
j-invariant |
L |
4.4293143995542 |
L(r)(E,1)/r! |
Ω |
0.062795551261158 |
Real period |
R |
2.9389783661672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075a2 1683c2 |
Quadratic twists by: -3 5 |