Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bm |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
184879800871686144 = 212 · 38 · 72 · 174 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-143325504,660427997184] |
[a1,a2,a3,a4,a6] |
Generators |
[3312:469584:1] |
Generators of the group modulo torsion |
j |
325607309118370326218054317057/184879800871686144 |
j-invariant |
L |
9.0377962077467 |
L(r)(E,1)/r! |
Ω |
0.19581314095347 |
Real period |
R |
1.9231336577096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
87822h2 |
Quadratic twists by: -3 |