Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280dm |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-20800364544000 = -1 · 216 · 310 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4575,185823] |
[a1,a2,a3,a4,a6] |
Generators |
[21:540:1] |
Generators of the group modulo torsion |
j |
161555647964/317388375 |
j-invariant |
L |
7.715453581377 |
L(r)(E,1)/r! |
Ω |
0.47060321251161 |
Real period |
R |
0.54649390231178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280n1 10320a1 123840fa1 |
Quadratic twists by: -4 8 -3 |