Atkin-Lehner |
2+ 5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850c |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
27096406250000 = 24 · 510 · 17 · 1012 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8900,-208000] |
[a1,a2,a3,a4,a6] |
Generators |
[48540:2031680:27] |
Generators of the group modulo torsion |
j |
4990567675969/1734170000 |
j-invariant |
L |
7.4986012612374 |
L(r)(E,1)/r! |
Ω |
0.50549891207347 |
Real period |
R |
7.4170300693373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17170l1 |
Quadratic twists by: 5 |