Atkin-Lehner |
3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067l |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
71928 |
Modular degree for the optimal curve |
Δ |
-17060456763 = -1 · 39 · 74 · 192 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ -2 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7758,260516] |
[a1,a2,a3,a4,a6] |
Generators |
[72:283:1] |
Generators of the group modulo torsion |
j |
-59584000000/19683 |
j-invariant |
L |
3.5702072947495 |
L(r)(E,1)/r! |
Ω |
1.2081932450117 |
Real period |
R |
0.10944432966368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53067k1 53067a1 |
Quadratic twists by: -7 -19 |