Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350k |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
2002272695360000000 = 212 · 57 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-317567,-10396659] |
[a1,a2,a3,a4,a6] |
j |
4818245769/2723840 |
j-invariant |
L |
0.86719615582943 |
L(r)(E,1)/r! |
Ω |
0.21679915673829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25270s1 6650r1 |
Quadratic twists by: 5 -19 |