Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997v |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77595045003 = 32 · 77 · 192 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-172361617,870967182182] |
[a1,a2,a3,a4,a6] |
Generators |
[490004:495143:64] |
Generators of the group modulo torsion |
j |
4813457608877472877383937/659547 |
j-invariant |
L |
4.9517348425183 |
L(r)(E,1)/r! |
Ω |
0.28803208423504 |
Real period |
R |
4.2979021344502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571e5 |
Quadratic twists by: -7 |