Atkin-Lehner |
2- 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
87472c |
Isogeny class |
Conductor |
87472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19748075162697728 = 217 · 72 · 112 · 714 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-318648,68796244] |
[a1,a2,a3,a4,a6] |
Generators |
[132:5390:1] |
Generators of the group modulo torsion |
j |
873572025235533625/4821307412768 |
j-invariant |
L |
4.7898806101051 |
L(r)(E,1)/r! |
Ω |
0.38720021160968 |
Real period |
R |
3.0926381729704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934c2 |
Quadratic twists by: -4 |