Atkin-Lehner |
2- 3- 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85410bf |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
3.1488225204969E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47961032,-127831883061] |
[a1,a2,a3,a4,a6] |
Generators |
[32297:5641701:1] |
Generators of the group modulo torsion |
j |
16736387926555467878762809/43193724561000000 |
j-invariant |
L |
11.940252827622 |
L(r)(E,1)/r! |
Ω |
0.057369028139409 |
Real period |
R |
5.7814068052289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988427 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28470a2 |
Quadratic twists by: -3 |