Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280be |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3652190208000 = -1 · 223 · 34 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 4 5 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2881,108575] |
[a1,a2,a3,a4,a6] |
Generators |
[59:384:1] |
Generators of the group modulo torsion |
j |
-10091699281/13932000 |
j-invariant |
L |
7.4207062712791 |
L(r)(E,1)/r! |
Ω |
0.71027931802672 |
Real period |
R |
0.65297430205794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280bz1 1290l1 123840db1 |
Quadratic twists by: -4 8 -3 |