Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cz |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1918598655792 = -1 · 24 · 3 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4957,-151618] |
[a1,a2,a3,a4,a6] |
j |
-174456832/24843 |
j-invariant |
L |
5.0805967762233 |
L(r)(E,1)/r! |
Ω |
0.28225537661541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196b1 4368v1 |
Quadratic twists by: -4 13 |