Atkin-Lehner |
3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16965d |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-155897746875 = -1 · 33 · 55 · 133 · 292 |
Discriminant |
Eigenvalues |
-2 3+ 5- -5 -3 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1407,27812] |
[a1,a2,a3,a4,a6] |
Generators |
[612:-15113:1] [-18:217:1] |
Generators of the group modulo torsion |
j |
-11408859721728/5773990625 |
j-invariant |
L |
3.5467249953654 |
L(r)(E,1)/r! |
Ω |
0.95498008552619 |
Real period |
R |
0.061898760143803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16965b1 84825f1 |
Quadratic twists by: -3 5 |