Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1968a |
Isogeny class |
Conductor |
1968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-283392 = -1 · 28 · 33 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 3 -6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] |
Generators of the group modulo torsion |
j |
128000/1107 |
j-invariant |
L |
2.7090130532994 |
L(r)(E,1)/r! |
Ω |
1.5278243748109 |
Real period |
R |
1.7731181004588 |
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 |
984d1 7872bb1 5904g1 49200v1 |
Quadratic twists by: -4 8 -3 5 |