Atkin-Lehner |
2+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17080b |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-321511187200 = -1 · 28 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1199,22515] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:70:1] [15:-210:1] |
Generators of the group modulo torsion |
j |
744010443776/1255903075 |
j-invariant |
L |
4.9353372711682 |
L(r)(E,1)/r! |
Ω |
0.66038043632358 |
Real period |
R |
0.13345492666326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34160b1 85400s1 119560n1 |
Quadratic twists by: -4 5 -7 |