Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bg |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-3.0999751759888E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14138202,22145775379] |
[a1,a2,a3,a4,a6] |
Generators |
[62313146215:-8394778049328:3307949] |
Generators of the group modulo torsion |
j |
-5551350318708736/550618236675 |
j-invariant |
L |
8.5976402605637 |
L(r)(E,1)/r! |
Ω |
0.11444826598848 |
Real period |
R |
18.780625945325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840br1 40560o1 9360l1 |
Quadratic twists by: -4 -3 13 |