Atkin-Lehner |
2- 3- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410s |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
2568682945530 = 2 · 36 · 5 · 136 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -1 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21668,1230621] |
[a1,a2,a3,a4,a6] |
j |
1543241430303481/3523570570 |
j-invariant |
L |
1.6270680880044 |
L(r)(E,1)/r! |
Ω |
0.81353407556538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9490b1 |
Quadratic twists by: -3 |