Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10224t |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
108546490368 = 221 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 3 0 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1683,21330] |
[a1,a2,a3,a4,a6] |
j |
176558481/36352 |
j-invariant |
L |
4.0002667123239 |
L(r)(E,1)/r! |
Ω |
1.000066678081 |
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 |
1278d1 40896cb1 1136c1 |
Quadratic twists by: -4 8 -3 |