Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968y |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26763264 |
Modular degree for the optimal curve |
Δ |
-1.9660648529428E+26 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44326293,-664984893683] |
[a1,a2,a3,a4,a6] |
j |
350208169805056/7148520419229 |
j-invariant |
L |
3.517245571995 |
L(r)(E,1)/r! |
Ω |
0.027478479271871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984bz1 40656v1 121968bq1 |
Quadratic twists by: -4 -3 -11 |