Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bi |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-1.2331029336148E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243867,-175193174] |
[a1,a2,a3,a4,a6] |
Generators |
[857:15660:1] |
Generators of the group modulo torsion |
j |
-1316978/10125 |
j-invariant |
L |
8.5510177217566 |
L(r)(E,1)/r! |
Ω |
0.094845868977133 |
Real period |
R |
3.7565411022741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840bt1 40560p1 121680p1 |
Quadratic twists by: -4 -3 13 |