Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4140h |
Isogeny class |
Conductor |
4140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-15645623040 = -1 · 28 · 312 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,3796] |
[a1,a2,a3,a4,a6] |
Generators |
[5:81:1] |
Generators of the group modulo torsion |
j |
87228416/83835 |
j-invariant |
L |
3.7293628825916 |
L(r)(E,1)/r! |
Ω |
0.81526404296707 |
Real period |
R |
2.2872116799233 |
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 |
16560bt1 66240bw1 1380c1 20700f1 |
Quadratic twists by: -4 8 -3 5 |