Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997s |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
11139072 |
Modular degree for the optimal curve |
Δ |
2.8050431130248E+20 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-381191042,2864555952915] |
[a1,a2,a3,a4,a6] |
j |
151799174746387671350359/6951158326503 |
j-invariant |
L |
1.8124464380904 |
L(r)(E,1)/r! |
Ω |
0.12946046246729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80997e1 |
Quadratic twists by: -7 |