Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10626r |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-73635189229502208 = -1 · 28 · 316 · 74 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,104216,1671488] |
[a1,a2,a3,a4,a6] |
j |
125177609053596564863/73635189229502208 |
j-invariant |
L |
3.3539827565758 |
L(r)(E,1)/r! |
Ω |
0.20962392228599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
85008bm1 31878v1 74382x1 116886l1 |
Quadratic twists by: -4 -3 -7 -11 |