Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054i |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-260474886 = -1 · 2 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -6 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74,-846] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
1.547772671742 |
L(r)(E,1)/r! |
Ω |
0.72874593707805 |
Real period |
R |
1.0619425735311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432dd1 36162cs1 246f1 |
Quadratic twists by: -4 -3 -7 |