Atkin-Lehner |
2- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27608f |
Isogeny class |
Conductor |
27608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-853412376568858624 = -1 · 211 · 72 · 17 · 298 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200219,56254550] |
[a1,a2,a3,a4,a6] |
Generators |
[-3693106028150:-101968840752636:11015140625] |
Generators of the group modulo torsion |
j |
-433420674503586786/416705261996513 |
j-invariant |
L |
5.6509296784399 |
L(r)(E,1)/r! |
Ω |
0.25657627265711 |
Real period |
R |
22.024365775989 |
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 |
55216f3 |
Quadratic twists by: -4 |