Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282m |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-25469808 = -1 · 24 · 3 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52,-286] |
[a1,a2,a3,a4,a6] |
j |
-15124197817/25469808 |
j-invariant |
L |
1.6849171585878 |
L(r)(E,1)/r! |
Ω |
0.84245857929391 |
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 |
74256br1 27846br1 64974g1 120666by1 |
Quadratic twists by: -4 -3 -7 13 |