Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405m |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-76866933325 = -1 · 52 · 72 · 137 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 5 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,13353] |
[a1,a2,a3,a4,a6] |
Generators |
[27:155:1] |
Generators of the group modulo torsion |
j |
-2401/325 |
j-invariant |
L |
4.5476002059728 |
L(r)(E,1)/r! |
Ω |
0.89088695974675 |
Real period |
R |
1.2761440035189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41405a1 3185b1 |
Quadratic twists by: -7 13 |