Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988h |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
246865289210064 = 24 · 33 · 711 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-824376,-288094275] |
[a1,a2,a3,a4,a6] |
Generators |
[-300185851:1819958:571787] |
Generators of the group modulo torsion |
j |
1219067475001344/4857223 |
j-invariant |
L |
5.3053775469812 |
L(r)(E,1)/r! |
Ω |
0.15844127317518 |
Real period |
R |
8.3712050538677 |
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 |
119952cq1 29988o1 4284b1 |
Quadratic twists by: -4 -3 -7 |