Atkin-Lehner |
2- 3+ 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40290u |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-31620615231753720 = -1 · 23 · 35 · 5 · 174 · 794 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14264,-8524351] |
[a1,a2,a3,a4,a6] |
Generators |
[1893962:-50851389:2744] |
Generators of the group modulo torsion |
j |
320956222324643711/31620615231753720 |
j-invariant |
L |
8.0408332136025 |
L(r)(E,1)/r! |
Ω |
0.17577160639885 |
Real period |
R |
7.6243194016939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120870k3 |
Quadratic twists by: -3 |