Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798h |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
8465472 = 26 · 34 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58,-121] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
21601086625/8465472 |
j-invariant |
L |
5.6701826078741 |
L(r)(E,1)/r! |
Ω |
1.7887543114955 |
Real period |
R |
1.0566352556888 |
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 |
78384z1 29394c1 |
Quadratic twists by: -4 -3 |