Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600eb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
3.160215E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2697237633,53916244336863] |
[a1,a2,a3,a4,a6] |
Generators |
[30189:61404:1] |
Generators of the group modulo torsion |
j |
1059623036730633329075378/154307373046875 |
j-invariant |
L |
10.013405598424 |
L(r)(E,1)/r! |
Ω |
0.075519282945052 |
Real period |
R |
4.7355008497932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gs4 10200bd4 16320p4 |
Quadratic twists by: -4 8 5 |