Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cx |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
1568 |
Product of Tamagawa factors cp |
deg |
711244800 |
Modular degree for the optimal curve |
Δ |
-2.2413135337468E+32 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-118080726475,-15634295365061647] |
[a1,a2,a3,a4,a6] |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
6.3846760564413 |
L(r)(E,1)/r! |
Ω |
0.0040718592175502 |
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 |
11154m1 9438m1 |
Quadratic twists by: -11 13 |