Atkin-Lehner |
3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735g |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
535425 = 3 · 52 · 112 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89,311] |
[a1,a2,a3,a4,a6] |
j |
76711450249/535425 |
j-invariant |
L |
2.9409819147733 |
L(r)(E,1)/r! |
Ω |
2.9409819147733 |
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 |
29205s1 48675d1 107085p1 |
Quadratic twists by: -3 5 -11 |