Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342bc |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
889200 |
Modular degree for the optimal curve |
Δ |
-1.9328990570098E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 4 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,106054,668779068] |
[a1,a2,a3,a4,a6] |
j |
9010188470393231/13201960638001752 |
j-invariant |
L |
7.9926586449838 |
L(r)(E,1)/r! |
Ω |
0.14022208149094 |
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 |
98736cc1 37026s1 12342s1 |
Quadratic twists by: -4 -3 -11 |