Atkin-Lehner |
2+ 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9758b |
Isogeny class |
Conductor |
9758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11008 |
Modular degree for the optimal curve |
Δ |
16072265188 = 22 · 78 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 0 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1615,24633] |
[a1,a2,a3,a4,a6] |
Generators |
[4:133:1] |
Generators of the group modulo torsion |
j |
466007114306889/16072265188 |
j-invariant |
L |
3.9693104763 |
L(r)(E,1)/r! |
Ω |
1.230972271595 |
Real period |
R |
3.2245328086527 |
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 |
78064f1 87822bm1 68306n1 |
Quadratic twists by: -4 -3 -7 |