Atkin-Lehner |
2+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728f |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-1244058544353837056 = -1 · 229 · 135 · 792 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 0 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175137,-60685249] |
[a1,a2,a3,a4,a6] |
j |
-2266313514323977/4745706727424 |
j-invariant |
L |
0.87561143004673 |
L(r)(E,1)/r! |
Ω |
0.10945142993883 |
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 |
65728n1 2054c1 |
Quadratic twists by: -4 8 |