Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200bi |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
17740800 |
Modular degree for the optimal curve |
Δ |
-4.4009146230469E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 0 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129265508,-566624481012] |
[a1,a2,a3,a4,a6] |
Generators |
[59602:14264028:1] |
Generators of the group modulo torsion |
j |
-59718885747089141926096/110022865576171875 |
j-invariant |
L |
10.831767652235 |
L(r)(E,1)/r! |
Ω |
0.022384682718801 |
Real period |
R |
5.7606184043059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999738729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60600d1 24240g1 |
Quadratic twists by: -4 5 |