Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280dn |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-13297218748416000 = -1 · 238 · 32 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42655,-4377057] |
[a1,a2,a3,a4,a6] |
Generators |
[6244:54405:64] |
Generators of the group modulo torsion |
j |
32740359775271/50724864000 |
j-invariant |
L |
8.4880501641788 |
L(r)(E,1)/r! |
Ω |
0.21032373201135 |
Real period |
R |
6.7261787998646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280o1 10320o1 123840fb1 |
Quadratic twists by: -4 8 -3 |