Atkin-Lehner |
2+ 3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310i |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-107110186523437500 = -1 · 22 · 33 · 512 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,98616,10264140] |
[a1,a2,a3,a4,a6] |
j |
3928254527249829477/3967043945312500 |
j-invariant |
L |
1.7648104928152 |
L(r)(E,1)/r! |
Ω |
0.22060131155823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
50310bp4 |
Quadratic twists by: -3 |