Atkin-Lehner |
2+ 5+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87550a |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-952544000000000 = -1 · 214 · 59 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -6 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59376,5758398] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1571:1] |
Generators of the group modulo torsion |
j |
-1481582988342001/60962816000 |
j-invariant |
L |
4.8518720280809 |
L(r)(E,1)/r! |
Ω |
0.49181836776836 |
Real period |
R |
1.2331463061591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17510l1 |
Quadratic twists by: 5 |