Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
530b |
Isogeny class |
Conductor |
530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24 |
Modular degree for the optimal curve |
Δ |
4240 = 24 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
8120601/4240 |
j-invariant |
L |
1.5252750504437 |
L(r)(E,1)/r! |
Ω |
3.5353430676396 |
Real period |
R |
0.86287244053071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4240f1 16960a1 4770y1 2650f1 |
Quadratic twists by: -4 8 -3 5 |