Atkin-Lehner |
3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53067a |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1366632 |
Modular degree for the optimal curve |
Δ |
-802624218677743203 = -1 · 39 · 74 · 198 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ -2 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2800758,-1803685255] |
[a1,a2,a3,a4,a6] |
Generators |
[8633751268434:575863463989439:1702209384] |
Generators of the group modulo torsion |
j |
-59584000000/19683 |
j-invariant |
L |
9.270377030694 |
L(r)(E,1)/r! |
Ω |
0.058350158986526 |
Real period |
R |
17.652769250161 |
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 |
53067o1 53067l1 |
Quadratic twists by: -7 -19 |