Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282w |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
31824 |
Modular degree for the optimal curve |
Δ |
-1425589419618 = -1 · 2 · 313 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11155,-458029] |
[a1,a2,a3,a4,a6] |
j |
-153509362902771121/1425589419618 |
j-invariant |
L |
3.0178992437719 |
L(r)(E,1)/r! |
Ω |
0.23214609567476 |
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 |
74256bl1 27846r1 64974br1 120666u1 |
Quadratic twists by: -4 -3 -7 13 |