Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18772c |
Isogeny class |
Conductor |
18772 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-31421379369328 = -1 · 24 · 133 · 197 |
Discriminant |
Eigenvalues |
2- 2 0 2 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-692518,222048105] |
[a1,a2,a3,a4,a6] |
Generators |
[564:3249:1] |
Generators of the group modulo torsion |
j |
-48795070432000/41743 |
j-invariant |
L |
7.5930459220198 |
L(r)(E,1)/r! |
Ω |
0.54995747674053 |
Real period |
R |
1.1505504581648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088v2 988d2 |
Quadratic twists by: -4 -19 |