Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2788b |
Isogeny class |
Conductor |
2788 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
3222928 = 24 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 1 0 -1 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:11:1] |
Generators of the group modulo torsion |
j |
389344000/201433 |
j-invariant |
L |
3.6499386184349 |
L(r)(E,1)/r! |
Ω |
2.2181370999792 |
Real period |
R |
1.6454973042329 |
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 |
11152s1 44608n1 25092g1 69700a1 |
Quadratic twists by: -4 8 -3 5 |