Atkin-Lehner |
3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9735i |
Isogeny class |
Conductor |
9735 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-199597921875 = -1 · 39 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-745,-23126] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1732:1] |
Generators of the group modulo torsion |
j |
-45790495768576/199597921875 |
j-invariant |
L |
5.1432340699081 |
L(r)(E,1)/r! |
Ω |
0.41520316811611 |
Real period |
R |
2.0645451290928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29205h1 48675a1 107085r1 |
Quadratic twists by: -3 5 -11 |