Atkin-Lehner |
2- 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290bg |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
49068343814400 = 28 · 38 · 52 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9248,62147] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:493:1] [-45:643:1] |
Generators of the group modulo torsion |
j |
119976343103161/67309113600 |
j-invariant |
L |
15.115558806482 |
L(r)(E,1)/r! |
Ω |
0.54838697586697 |
Real period |
R |
1.7227295086763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32430l2 |
Quadratic twists by: -3 |