Atkin-Lehner |
2+ 3- 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526p |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16146432 |
Modular degree for the optimal curve |
Δ |
-3.9200258818929E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11035422,-26616987500] |
[a1,a2,a3,a4,a6] |
j |
203874541816770424440287/537726458421527445504 |
j-invariant |
L |
0.58675037049548 |
L(r)(E,1)/r! |
Ω |
0.048895799541788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842o1 |
Quadratic twists by: -3 |