Atkin-Lehner |
3- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40455g |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-22796699113825515 = -1 · 311 · 5 · 29 · 316 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 -3 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-52203,-8593362] |
[a1,a2,a3,a4,a6] |
j |
-21581546832695296/31271192200035 |
j-invariant |
L |
0.60036136750264 |
L(r)(E,1)/r! |
Ω |
0.15009034188422 |
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 |
13485h1 |
Quadratic twists by: -3 |