Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610a |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24623023347562500 = 22 · 314 · 56 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75728,2677932] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:2565:1] |
Generators of the group modulo torsion |
j |
48028844055554675209/24623023347562500 |
j-invariant |
L |
2.1181539953676 |
L(r)(E,1)/r! |
Ω |
0.3334893119639 |
Real period |
R |
3.1757449480073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880cg2 25830bf2 43050by2 60270o2 |
Quadratic twists by: -4 -3 5 -7 |