Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fa |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
115302195560448 = 215 · 36 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66924,-6643728] |
[a1,a2,a3,a4,a6] |
Generators |
[-4137:3115:27] |
Generators of the group modulo torsion |
j |
287496 |
j-invariant |
L |
7.7795274766102 |
L(r)(E,1)/r! |
Ω |
0.29688955509303 |
Real period |
R |
6.5508598621932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344fa4 48672bt3 10816bb4 576h3 |
Quadratic twists by: -4 8 -3 13 |