Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bv |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
786157511887506528 = 25 · 318 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40573994,99486463241] |
[a1,a2,a3,a4,a6] |
j |
86129359107301290313/9166294368 |
j-invariant |
L |
4.3724756262246 |
L(r)(E,1)/r! |
Ω |
0.21862378131123 |
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 |
77616gk4 3234o3 1386g3 106722df4 |
Quadratic twists by: -4 -3 -7 -11 |