Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bc |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1586946816 = 28 · 34 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-572,5100] |
[a1,a2,a3,a4,a6] |
Generators |
[186:495:8] |
Generators of the group modulo torsion |
j |
80989901008/6199011 |
j-invariant |
L |
6.681840032294 |
L(r)(E,1)/r! |
Ω |
1.4701215936147 |
Real period |
R |
4.5450934852232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999321591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31668f2 |
Quadratic twists by: -4 |