Atkin-Lehner |
2- 3- 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85410bf |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
332864831403000 = 23 · 37 · 53 · 134 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-767376032,-8181826691061] |
[a1,a2,a3,a4,a6] |
Generators |
[1031889:115022927:27] |
Generators of the group modulo torsion |
j |
68552117563604797609507802809/456604707000 |
j-invariant |
L |
11.940252827622 |
L(r)(E,1)/r! |
Ω |
0.028684514069705 |
Real period |
R |
11.562813610458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470a4 |
Quadratic twists by: -3 |