Atkin-Lehner |
2- 3- 5+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090bh |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-8743155501121875000 = -1 · 23 · 37 · 58 · 176 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,139207,140816657] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:10708:1] |
Generators of the group modulo torsion |
j |
409244009869550519/11993354596875000 |
j-invariant |
L |
8.3572137853872 |
L(r)(E,1)/r! |
Ω |
0.17448285206189 |
Real period |
R |
0.66523679695532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27030f1 |
Quadratic twists by: -3 |