Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440bv |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-54499737600 = -1 · 220 · 33 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1203,-19598] |
[a1,a2,a3,a4,a6] |
j |
-1740992427/492800 |
j-invariant |
L |
1.5978554697101 |
L(r)(E,1)/r! |
Ω |
0.39946386762397 |
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 |
6930b1 55440ci1 |
Quadratic twists by: -4 -3 |