Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bb |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-836352 = -1 · 28 · 33 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,44] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.6265700189652 |
L(r)(E,1)/r! |
Ω |
2.2388082346945 |
Real period |
R |
0.51663312954499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4356a1 69696ed1 17424bb2 17424ba1 |
Quadratic twists by: -4 8 -3 -11 |