Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968et |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-5.464782731707E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14802051,-21948352382] |
[a1,a2,a3,a4,a6] |
j |
-4631003113/7056 |
j-invariant |
L |
2.7706511426741 |
L(r)(E,1)/r! |
Ω |
0.038481272120477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246x1 40656cs1 121968ge1 |
Quadratic twists by: -4 -3 -11 |