Atkin-Lehner |
2+ 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296c |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-2866755584 = -1 · 211 · 74 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ 11- -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-544,-5344] |
[a1,a2,a3,a4,a6] |
j |
-8709406274/1399783 |
j-invariant |
L |
1.9595037166723 |
L(r)(E,1)/r! |
Ω |
0.48987593163236 |
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 |
32648g1 |
Quadratic twists by: -4 |