Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905v |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-3881979675 = -1 · 39 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -3 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-226,3196] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:31:1] [17:-68:1] |
Generators of the group modulo torsion |
j |
-3738308608/11317725 |
j-invariant |
L |
4.2432527054008 |
L(r)(E,1)/r! |
Ω |
1.2265012721108 |
Real period |
R |
0.096101107586021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50715bp1 84525p1 16905r1 |
Quadratic twists by: -3 5 -7 |