Atkin-Lehner |
2- 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850u |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
549440000000 = 212 · 57 · 17 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3938,-88508] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:30:1] |
Generators of the group modulo torsion |
j |
432252699481/35164160 |
j-invariant |
L |
6.9598965459039 |
L(r)(E,1)/r! |
Ω |
0.60578475771687 |
Real period |
R |
1.9148430900505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17170i1 |
Quadratic twists by: 5 |