Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968n |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-1.2480605093498E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ 7 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,467181,-117406179] |
[a1,a2,a3,a4,a6] |
j |
15185664/16807 |
j-invariant |
L |
2.4293405644357 |
L(r)(E,1)/r! |
Ω |
0.12146699582952 |
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 |
60984bk1 121968m1 121968d1 |
Quadratic twists by: -4 -3 -11 |