Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ee |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.2315660130361E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6725301,-2567576198] |
[a1,a2,a3,a4,a6] |
j |
6359387729183/4218578658 |
j-invariant |
L |
1.0980726921231 |
L(r)(E,1)/r! |
Ω |
0.068629540151598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bs6 40656co5 1008l6 |
Quadratic twists by: -4 -3 -11 |