Atkin-Lehner |
3- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12831c |
Isogeny class |
Conductor |
12831 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
83469722427 = 33 · 72 · 134 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6891,-220289] |
[a1,a2,a3,a4,a6] |
Generators |
[982:6603:8] |
Generators of the group modulo torsion |
j |
36180941388243625/83469722427 |
j-invariant |
L |
7.0942903008774 |
L(r)(E,1)/r! |
Ω |
0.52407898507755 |
Real period |
R |
2.2561135830278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38493g2 89817h2 |
Quadratic twists by: -3 -7 |