Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232v |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1302110208 = 213 · 33 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3555,-81566] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1378:1] |
Generators of the group modulo torsion |
j |
44928178875/11774 |
j-invariant |
L |
5.4895379520345 |
L(r)(E,1)/r! |
Ω |
0.61829606606132 |
Real period |
R |
4.4392470317692 |
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 |
3654b2 116928dd2 29232x2 |
Quadratic twists by: -4 8 -3 |