Atkin-Lehner |
2+ 3- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822t |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2611200 |
Modular degree for the optimal curve |
Δ |
-1.6796310108258E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,639837,8436501] |
[a1,a2,a3,a4,a6] |
Generators |
[699:27879:1] |
Generators of the group modulo torsion |
j |
39737803104796336847/23040205909819392 |
j-invariant |
L |
4.368226436755 |
L(r)(E,1)/r! |
Ω |
0.1318481168299 |
Real period |
R |
1.6565372856979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29274bp1 |
Quadratic twists by: -3 |