Atkin-Lehner |
2- 3+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29172a |
Isogeny class |
Conductor |
29172 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-96914518272 = -1 · 28 · 32 · 114 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-14952] |
[a1,a2,a3,a4,a6] |
Generators |
[34:182:1] |
Generators of the group modulo torsion |
j |
10718750000/378572337 |
j-invariant |
L |
5.3471127799258 |
L(r)(E,1)/r! |
Ω |
0.51337005077025 |
Real period |
R |
1.7359514096778 |
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 |
116688be2 87516i2 |
Quadratic twists by: -4 -3 |