Atkin-Lehner |
3+ 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735d |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
646660479351645 = 36 · 5 · 114 · 594 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28215,-1364808] |
[a1,a2,a3,a4,a6] |
j |
2484075765893618161/646660479351645 |
j-invariant |
L |
0.75094705671983 |
L(r)(E,1)/r! |
Ω |
0.37547352835992 |
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 |
29205i4 48675k4 107085g4 |
Quadratic twists by: -3 5 -11 |