Atkin-Lehner |
19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
85291a |
Isogeny class |
Conductor |
85291 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1718709261211 = -1 · 19 · 676 |
Discriminant |
Eigenvalues |
0 2 -3 1 -3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2993,1787] |
[a1,a2,a3,a4,a6] |
Generators |
[24858:701857:5832] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
5.6662040142406 |
L(r)(E,1)/r! |
Ω |
0.50420458430323 |
Real period |
R |
5.6189532928564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19a3 |
Quadratic twists by: -67 |