Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
456c |
Isogeny class |
Conductor |
456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-3545856 = -1 · 28 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -1 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57,171] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
-81415168/13851 |
j-invariant |
L |
1.8547501445298 |
L(r)(E,1)/r! |
Ω |
2.4058503308937 |
Real period |
R |
0.032122221000076 |
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 |
912a1 3648d1 1368i1 11400ba1 |
Quadratic twists by: -4 8 -3 5 |