Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160bq |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-494517105376000 = -1 · 28 · 53 · 74 · 235 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45341,3851959] |
[a1,a2,a3,a4,a6] |
Generators |
[67:1058:1] |
Generators of the group modulo torsion |
j |
-16771598147584/804542875 |
j-invariant |
L |
3.1455697928881 |
L(r)(E,1)/r! |
Ω |
0.5181962695465 |
Real period |
R |
0.60702285588377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540b1 90160de1 |
Quadratic twists by: -4 -7 |