Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bu |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-4541724983040 = -1 · 28 · 3 · 5 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2884,-83184] |
[a1,a2,a3,a4,a6] |
Generators |
[330:5904:1] |
Generators of the group modulo torsion |
j |
109902239/188160 |
j-invariant |
L |
9.5912141412661 |
L(r)(E,1)/r! |
Ω |
0.40682499731595 |
Real period |
R |
1.4734858668685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210c1 |
Quadratic twists by: 17 |