Atkin-Lehner |
2- 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17748a |
Isogeny class |
Conductor |
17748 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-83108346624 = -1 · 28 · 33 · 17 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1032,-5436] |
[a1,a2,a3,a4,a6] |
Generators |
[60:522:1] |
Generators of the group modulo torsion |
j |
17585676288/12023777 |
j-invariant |
L |
5.4046185571785 |
L(r)(E,1)/r! |
Ω |
0.61206073988899 |
Real period |
R |
0.36792498718882 |
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 |
70992k1 17748b1 |
Quadratic twists by: -4 -3 |