Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215ca |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
7687680 |
Modular degree for the optimal curve |
Δ |
-9.7187795261015E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16076181,-25264437649] |
[a1,a2,a3,a4,a6] |
Generators |
[474756:32867257:64] |
Generators of the group modulo torsion |
j |
-13958643712/295245 |
j-invariant |
L |
6.735020271532 |
L(r)(E,1)/r! |
Ω |
0.037651294534507 |
Real period |
R |
2.9813142033616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998831354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215z1 124215cs1 |
Quadratic twists by: -7 13 |