Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968bb |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-2.0138451180087E+24 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11312169,-66687514927] |
[a1,a2,a3,a4,a6] |
j |
5820759945472/73222472421 |
j-invariant |
L |
4.0660080355629 |
L(r)(E,1)/r! |
Ω |
0.040660088963491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984cc1 40656c1 121968bt1 |
Quadratic twists by: -4 -3 -11 |