Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2544d |
Isogeny class |
Conductor |
2544 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-105504768 = -1 · 213 · 35 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -5 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,500] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
3.6053126968549 |
L(r)(E,1)/r! |
Ω |
1.4184580960415 |
Real period |
R |
0.12708562582555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318a1 10176o1 7632k1 63600by1 |
Quadratic twists by: -4 8 -3 5 |