Atkin-Lehner |
2- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
400b |
Isogeny class |
Conductor |
400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-3276800 = -1 · 217 · 52 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,-172] |
[a1,a2,a3,a4,a6] |
j |
-121945/32 |
j-invariant |
L |
1.7861413502408 |
L(r)(E,1)/r! |
Ω |
0.8930706751204 |
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 |
50b1 1600q1 3600bi1 400c3 |
Quadratic twists by: -4 8 -3 5 |