Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520ba |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
1.9619412024963E+19 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1330405,-550412475] |
[a1,a2,a3,a4,a6] |
Generators |
[30870180:687046175:19683] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
13.309407191207 |
L(r)(E,1)/r! |
Ω |
0.14124322827357 |
Real period |
R |
9.4230408964031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520cx1 7220d1 6080j1 |
Quadratic twists by: -4 8 -19 |