Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525i |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-1743880359375 = -1 · 32 · 56 · 7 · 116 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2962,14906] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:731:8] [6:178:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
5.2919527873418 |
L(r)(E,1)/r! |
Ω |
0.51535561894062 |
Real period |
R |
2.5671364553198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2541l1 525b1 |
Quadratic twists by: 5 -11 |