Atkin-Lehner |
2- 3+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758o |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
160659951648768 = 216 · 33 · 11 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15284,-392425] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:489:1] |
Generators of the group modulo torsion |
j |
14623266529962819/5950368579584 |
j-invariant |
L |
10.223941563043 |
L(r)(E,1)/r! |
Ω |
0.44491474536959 |
Real period |
R |
0.35905550127302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43758c1 |
Quadratic twists by: -3 |