Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290cd |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
412160 |
Modular degree for the optimal curve |
Δ |
-2860146981562500 = -1 · 22 · 38 · 57 · 75 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32153,-3389763] |
[a1,a2,a3,a4,a6] |
j |
-5042524562477641/3923384062500 |
j-invariant |
L |
3.449636007923 |
L(r)(E,1)/r! |
Ω |
0.17248180045564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430j1 |
Quadratic twists by: -3 |