Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ek |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.1923426517473E+28 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240207417,5445593893116] |
[a1,a2,a3,a4,a6] |
j |
-1143792273008057401/8897444448004035 |
j-invariant |
L |
1.6538478164441 |
L(r)(E,1)/r! |
Ω |
0.034455160402615 |
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 |
40425ck3 24255bx3 17325r4 |
Quadratic twists by: -3 5 -7 |