Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650c |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1772226562500 = 22 · 32 · 510 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3875,65625] |
[a1,a2,a3,a4,a6] |
Generators |
[1:248:1] |
Generators of the group modulo torsion |
j |
411996867121/113422500 |
j-invariant |
L |
3.1743020440624 |
L(r)(E,1)/r! |
Ω |
0.78078027754974 |
Real period |
R |
2.0327755037717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85200dh2 31950co2 2130o2 |
Quadratic twists by: -4 -3 5 |