Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880ch |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-79413903360 = -1 · 220 · 34 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456,-14220] |
[a1,a2,a3,a4,a6] |
j |
-2565726409/19388160 |
j-invariant |
L |
1.8257841231862 |
L(r)(E,1)/r! |
Ω |
0.45644603078893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610a1 |
Quadratic twists by: -4 |