Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bb |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1958569461121000 = -1 · 23 · 53 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24839,1506468] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1104:1] |
Generators of the group modulo torsion |
j |
2809189531/3246152 |
j-invariant |
L |
3.5235104807917 |
L(r)(E,1)/r! |
Ω |
0.31134915405658 |
Real period |
R |
1.414613800534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59150ce2 4550x2 |
Quadratic twists by: 5 13 |