Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066x |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
1.8418341799457E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3980782,2253990176] |
[a1,a2,a3,a4,a6] |
j |
3937972047511014577/1039667378061312 |
j-invariant |
L |
1.3872614234579 |
L(r)(E,1)/r! |
Ω |
0.13872614226051 |
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 |
6006bf1 |
Quadratic twists by: -11 |