Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232bb |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-41728585387474944 = -1 · 224 · 36 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18789,-9778102] |
[a1,a2,a3,a4,a6] |
Generators |
[3774397:201185278:1331] |
Generators of the group modulo torsion |
j |
245667233447/13974818816 |
j-invariant |
L |
6.3494597999272 |
L(r)(E,1)/r! |
Ω |
0.17293284590458 |
Real period |
R |
9.1790830231154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3654u2 116928dx2 3248k2 |
Quadratic twists by: -4 8 -3 |