Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824bq |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-379718595510272 = -1 · 229 · 294 |
Discriminant |
Eigenvalues |
2- 3 0 -4 -1 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16820,-417136] |
[a1,a2,a3,a4,a6] |
Generators |
[560790:5745664:19683] |
Generators of the group modulo torsion |
j |
2838375/2048 |
j-invariant |
L |
9.0766827151655 |
L(r)(E,1)/r! |
Ω |
0.3009366945815 |
Real period |
R |
7.5403588850111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824q1 13456q1 53824bg1 |
Quadratic twists by: -4 8 29 |