Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
10146l |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-60591587328 = -1 · 214 · 37 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 3 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,11840] |
[a1,a2,a3,a4,a6] |
Generators |
[8:104:1] |
Generators of the group modulo torsion |
j |
-75418890625/60591587328 |
j-invariant |
L |
7.4002070910902 |
L(r)(E,1)/r! |
Ω |
0.89637132070566 |
Real period |
R |
0.08424222809424 |
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 |
81168bx1 30438b1 |
Quadratic twists by: -4 -3 |