Atkin-Lehner |
2+ 3- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9798b |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
69337668698112 = 214 · 3 · 234 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-261362,51405956] |
[a1,a2,a3,a4,a6] |
j |
1974461445584178701977/69337668698112 |
j-invariant |
L |
1.1536459155022 |
L(r)(E,1)/r! |
Ω |
0.5768229577511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384w2 29394o2 |
Quadratic twists by: -4 -3 |