Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cw |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.4947704699502E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1042497,1904374719] |
[a1,a2,a3,a4,a6] |
Generators |
[-891:46116:1] |
Generators of the group modulo torsion |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
7.7709999514621 |
L(r)(E,1)/r! |
Ω |
0.12831284748137 |
Real period |
R |
0.22430708900403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984j1 20496p1 |
Quadratic twists by: -4 8 |