Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410z |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-1.221887787862E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7841767,-14541731719] |
[a1,a2,a3,a4,a6] |
Generators |
[1901865:152208916:343] |
Generators of the group modulo torsion |
j |
73153993270967483991479/167611493533882777600 |
j-invariant |
L |
10.257514066623 |
L(r)(E,1)/r! |
Ω |
0.054213700804845 |
Real period |
R |
7.8835499652658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008087 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9490f4 |
Quadratic twists by: -3 |