Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bg |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-67135604163473664 = -1 · 28 · 38 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16844,12432172] |
[a1,a2,a3,a4,a6] |
j |
2530736/321489 |
j-invariant |
L |
1.0695486031158 |
L(r)(E,1)/r! |
Ω |
0.26738715121765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196m1 56784bx1 |
Quadratic twists by: -4 13 |