Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290v |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-207631661343750 = -1 · 2 · 39 · 56 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11025,826875] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1155:1] |
Generators of the group modulo torsion |
j |
-203307844496401/284817093750 |
j-invariant |
L |
4.1817659103906 |
L(r)(E,1)/r! |
Ω |
0.50698401632668 |
Real period |
R |
1.0310398789022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430br2 |
Quadratic twists by: -3 |