Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9798f |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1371179483532 = 22 · 35 · 234 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4402,-97624] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:119:1] |
Generators of the group modulo torsion |
j |
9430440896203417/1371179483532 |
j-invariant |
L |
2.8122825180964 |
L(r)(E,1)/r! |
Ω |
0.59182631818251 |
Real period |
R |
0.23759356687051 |
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 |
78384o2 29394j2 |
Quadratic twists by: -4 -3 |