Atkin-Lehner |
2+ 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9758a |
Isogeny class |
Conductor |
9758 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1076259618508816 = -1 · 24 · 72 · 172 · 416 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 4 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20228,-1923040] |
[a1,a2,a3,a4,a6] |
Generators |
[283:3726:1] |
Generators of the group modulo torsion |
j |
-915365676853713177/1076259618508816 |
j-invariant |
L |
2.7116683638603 |
L(r)(E,1)/r! |
Ω |
0.19149633997908 |
Real period |
R |
3.540104688367 |
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 |
78064e2 87822bk2 68306k2 |
Quadratic twists by: -4 -3 -7 |