Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580h |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-27975200000 = -1 · 28 · 55 · 112 · 172 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,380,7400] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-110:1] |
Generators of the group modulo torsion |
j |
81807536/378125 |
j-invariant |
L |
3.5509358721076 |
L(r)(E,1)/r! |
Ω |
0.84833600168438 |
Real period |
R |
0.13952552862134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63580f1 |
Quadratic twists by: 17 |