Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9282d |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
15783560712192 = 212 · 3 · 7 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7126,-133676] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:311:1] |
Generators of the group modulo torsion |
j |
40027308583943017/15783560712192 |
j-invariant |
L |
2.5589367634198 |
L(r)(E,1)/r! |
Ω |
0.53748580216838 |
Real period |
R |
2.3804691706239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256cn1 27846bi1 64974x1 120666bj1 |
Quadratic twists by: -4 -3 -7 13 |