Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
83148m |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5249664 |
Modular degree for the optimal curve |
Δ |
6.8892768466336E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6194244,-4390938252] |
[a1,a2,a3,a4,a6] |
j |
21271035361447888/5575368257199 |
j-invariant |
L |
4.0975401483094 |
L(r)(E,1)/r! |
Ω |
0.097560478482013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6396f1 |
Quadratic twists by: 13 |