Atkin-Lehner |
2+ 5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17690a |
Isogeny class |
Conductor |
17690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
283040000 = 28 · 54 · 29 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23028,-1354672] |
[a1,a2,a3,a4,a6] |
Generators |
[120548568:-13813524628:9261] |
Generators of the group modulo torsion |
j |
1350584751098958409/283040000 |
j-invariant |
L |
5.4968773978745 |
L(r)(E,1)/r! |
Ω |
0.38755473679594 |
Real period |
R |
14.183486552943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88450m1 |
Quadratic twists by: 5 |