Atkin-Lehner |
2+ 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626a |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
12241152 = 28 · 33 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1001,11781] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-1:1] |
Generators of the group modulo torsion |
j |
111097343765017/12241152 |
j-invariant |
L |
2.0174281387232 |
L(r)(E,1)/r! |
Ω |
2.1639541159887 |
Real period |
R |
1.8645757077908 |
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 |
85008cg1 31878bb1 74382s1 116886bh1 |
Quadratic twists by: -4 -3 -7 -11 |