Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042de |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
404175139368 = 23 · 3 · 77 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43758,-3526692] |
[a1,a2,a3,a4,a6] |
Generators |
[2566:30175:8] |
Generators of the group modulo torsion |
j |
78760503564625/3435432 |
j-invariant |
L |
10.954068802314 |
L(r)(E,1)/r! |
Ω |
0.33009296877376 |
Real period |
R |
5.5307998243646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126cw2 6006t2 |
Quadratic twists by: -3 -7 |