Atkin-Lehner |
3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bf |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7.2862310371399E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,697312,-4100678883] |
[a1,a2,a3,a4,a6] |
Generators |
[1588:31015:1] |
Generators of the group modulo torsion |
j |
2399855342277483719/466318786376953125 |
j-invariant |
L |
5.3875120537829 |
L(r)(E,1)/r! |
Ω |
0.062383526304062 |
Real period |
R |
7.1967611546339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635j4 |
Quadratic twists by: 5 |