Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397x |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
359159139883523421 = 36 · 134 · 297 |
Discriminant |
Eigenvalues |
1 3- 2 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1197321,503745452] |
[a1,a2,a3,a4,a6] |
Generators |
[21976:3242782:1] |
Generators of the group modulo torsion |
j |
437764156857/828269 |
j-invariant |
L |
8.4422206794125 |
L(r)(E,1)/r! |
Ω |
0.30270150846749 |
Real period |
R |
6.9723972466982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10933a3 3393g3 |
Quadratic twists by: -3 29 |