Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808p |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-38417412096 = -1 · 212 · 32 · 7 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1125,-16947] |
[a1,a2,a3,a4,a6] |
Generators |
[954:9897:8] |
Generators of the group modulo torsion |
j |
-38477541376/9379251 |
j-invariant |
L |
4.6967574348963 |
L(r)(E,1)/r! |
Ω |
0.40691004980994 |
Real period |
R |
5.7712477697345 |
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 |
1113e1 71232di1 53424bs1 124656dm1 |
Quadratic twists by: -4 8 -3 -7 |