Atkin-Lehner |
2+ 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210c |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1574524350 = 2 · 32 · 52 · 73 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32938,-2314658] |
[a1,a2,a3,a4,a6] |
Generators |
[1031:32057:1] |
Generators of the group modulo torsion |
j |
3952173387855060649/1574524350 |
j-invariant |
L |
2.7806103790092 |
L(r)(E,1)/r! |
Ω |
0.35438353989709 |
Real period |
R |
3.9231652517167 |
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 |
63630bt2 106050by2 |
Quadratic twists by: -3 5 |