Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12054bi |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-71776980535932 = -1 · 22 · 312 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23521,1445093] |
[a1,a2,a3,a4,a6] |
j |
-12232183057921/610094268 |
j-invariant |
L |
7.2987418719559 |
L(r)(E,1)/r! |
Ω |
0.60822848932965 |
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 |
96432bi1 36162bl1 1722l1 |
Quadratic twists by: -4 -3 -7 |