Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dd |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2105010135519984 = -1 · 24 · 39 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75141,-8229573] |
[a1,a2,a3,a4,a6] |
j |
-84098304/3773 |
j-invariant |
L |
1.7256166113921 |
L(r)(E,1)/r! |
Ω |
0.14380139914287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492c2 121968de1 11088z2 |
Quadratic twists by: -4 -3 -11 |