Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680g |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19576489406745600 = 210 · 33 · 52 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-302427,-63659654] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:350:1] |
Generators of the group modulo torsion |
j |
110642422367713932/708061682825 |
j-invariant |
L |
6.7248505920895 |
L(r)(E,1)/r! |
Ω |
0.20366286616656 |
Real period |
R |
2.0637201550258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bg2 85680c2 |
Quadratic twists by: -4 -3 |