Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dr |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.8343917567647E+29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7879751715,-265400852663518] |
[a1,a2,a3,a4,a6] |
j |
10228636028672744397625/167006381634183168 |
j-invariant |
L |
2.0531064492425 |
L(r)(E,1)/r! |
Ω |
0.016039888329789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246p2 40656bf2 11088bp2 |
Quadratic twists by: -4 -3 -11 |