Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656f |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-2384231178801250304 = -1 · 218 · 717 |
Discriminant |
Eigenvalues |
2- 0 2 0 6 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95779,-75161310] |
[a1,a2,a3,a4,a6] |
Generators |
[137426668643939:6412183615538880:61489559123] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
7.4453871112079 |
L(r)(E,1)/r! |
Ω |
0.11186274517876 |
Real period |
R |
16.63955926654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10082a1 1136b1 |
Quadratic twists by: -4 -71 |