Atkin-Lehner |
2- 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50232t |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1379195531108269056 = 210 · 33 · 72 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-460192,-106198960] |
[a1,a2,a3,a4,a6] |
j |
10525479579672640132/1346870635847919 |
j-invariant |
L |
4.4362805186464 |
L(r)(E,1)/r! |
Ω |
0.18484502159339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464j4 |
Quadratic twists by: -4 |