Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406u |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22676348682 = 2 · 34 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52309,-4609177] |
[a1,a2,a3,a4,a6] |
Generators |
[-96899815166:49596083557:733870808] |
Generators of the group modulo torsion |
j |
3279392280793/4698 |
j-invariant |
L |
9.3364906707409 |
L(r)(E,1)/r! |
Ω |
0.31568608873421 |
Real period |
R |
14.787618149689 |
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 |
88218ba4 174d3 |
Quadratic twists by: -3 13 |