Atkin-Lehner |
2- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264u |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-175640674304 = -1 · 224 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -1 3 4 -5 7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,-36863] |
[a1,a2,a3,a4,a6] |
j |
-2845178713/670016 |
j-invariant |
L |
2.8608698068829 |
L(r)(E,1)/r! |
Ω |
0.35760872586053 |
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 |
35264k1 8816k1 |
Quadratic twists by: -4 8 |