Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10062c |
Isogeny class |
Conductor |
10062 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
1.146499336013E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -6 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41053158,-99914166860] |
[a1,a2,a3,a4,a6] |
j |
10496291948059005959195233/157270142114265563136 |
j-invariant |
L |
1.0745573667135 |
L(r)(E,1)/r! |
Ω |
0.059697631484085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496bi1 3354d1 |
Quadratic twists by: -4 -3 |