Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cf |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.098210666822E+28 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-581604771,7386989931970] |
[a1,a2,a3,a4,a6] |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
1.2055776902445 |
L(r)(E,1)/r! |
Ω |
0.037674285908359 |
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 |
60984y3 40656ba3 11088p4 |
Quadratic twists by: -4 -3 -11 |