Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735h |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
157950375 = 3 · 53 · 112 · 592 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2014,-34939] |
[a1,a2,a3,a4,a6] |
Generators |
[4404:22843:64] |
Generators of the group modulo torsion |
j |
902801131247449/157950375 |
j-invariant |
L |
5.2201852784487 |
L(r)(E,1)/r! |
Ω |
0.71271365935912 |
Real period |
R |
7.3243794473403 |
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 |
29205m2 48675f2 107085o2 |
Quadratic twists by: -3 5 -11 |