Atkin-Lehner |
2+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
40280b |
Isogeny class |
Conductor |
40280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-18612582400 = -1 · 211 · 52 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 0 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-563,-8338] |
[a1,a2,a3,a4,a6] |
j |
-9636491538/9088175 |
j-invariant |
L |
0.94361758266284 |
L(r)(E,1)/r! |
Ω |
0.47180879131653 |
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 |
80560b1 |
Quadratic twists by: -4 |