Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8610f |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
75893919252480 = 216 · 39 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10854,-118088] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:579:1] |
Generators of the group modulo torsion |
j |
141395518489013209/75893919252480 |
j-invariant |
L |
3.2143504033991 |
L(r)(E,1)/r! |
Ω |
0.49772880330138 |
Real period |
R |
0.71755952730319 |
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 |
68880bl1 25830bd1 43050bk1 60270e1 |
Quadratic twists by: -4 -3 5 -7 |