Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31668f |
Isogeny class |
Conductor |
31668 |
Conductor |
∏ cp |
8 |
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 |
[314:1485:8] |
Generators of the group modulo torsion |
j |
80989901008/6199011 |
j-invariant |
L |
8.3597498598999 |
L(r)(E,1)/r! |
Ω |
0.98081275521513 |
Real period |
R |
4.2616441392355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672bc2 95004l2 |
Quadratic twists by: -4 -3 |