Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1392a |
Isogeny class |
Conductor |
1392 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-12528 = -1 · 24 · 33 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 3 -7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-562432/783 |
j-invariant |
L |
2.2081419181332 |
L(r)(E,1)/r! |
Ω |
1.5744966851482 |
Real period |
R |
1.4024430403456 |
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 |
696g1 5568be1 4176j1 34800v1 |
Quadratic twists by: -4 8 -3 5 |