Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680du |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-1.674245528617E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2341443,1393010242] |
[a1,a2,a3,a4,a6] |
Generators |
[147805:2082816:125] |
Generators of the group modulo torsion |
j |
-2813198004118489/33177600000 |
j-invariant |
L |
8.1971337795045 |
L(r)(E,1)/r! |
Ω |
0.22044214503983 |
Real period |
R |
4.6481207892069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210m1 40560cw1 121680fg1 |
Quadratic twists by: -4 -3 13 |