Atkin-Lehner |
2+ 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9282j |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-1364454 = -1 · 2 · 32 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13,-52] |
[a1,a2,a3,a4,a6] |
j |
270840023/1364454 |
j-invariant |
L |
2.7223214678228 |
L(r)(E,1)/r! |
Ω |
1.3611607339114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256cg1 27846bg1 64974d1 120666cj1 |
Quadratic twists by: -4 -3 -7 13 |