Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10850b |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-24304000000 = -1 · 210 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,525,6125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:245:1] |
Generators of the group modulo torsion |
j |
1021147343/1555456 |
j-invariant |
L |
4.5329636469688 |
L(r)(E,1)/r! |
Ω |
0.81377841195529 |
Real period |
R |
1.3925669384855 |
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 |
86800ce1 97650cx1 434d1 75950bi1 |
Quadratic twists by: -4 -3 5 -7 |