Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960bf |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4321076838400 = 222 · 52 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4108,-16368] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1911:8] |
Generators of the group modulo torsion |
j |
29246580441/16483600 |
j-invariant |
L |
5.9902604535074 |
L(r)(E,1)/r! |
Ω |
0.6421506412269 |
Real period |
R |
4.664217450502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000308 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64960a2 16240t2 |
Quadratic twists by: -4 8 |