Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784g |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-9108072739584 = -1 · 28 · 34 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3831,-114219] |
[a1,a2,a3,a4,a6] |
j |
5030912/7371 |
j-invariant |
L |
3.0978424299843 |
L(r)(E,1)/r! |
Ω |
0.38723030379392 |
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 |
28392ba1 4368c1 |
Quadratic twists by: -4 13 |