Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cp |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-12802406400000 = -1 · 214 · 36 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 5 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14832,-716256] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
3.23784819164 |
L(r)(E,1)/r! |
Ω |
0.21585654610933 |
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 |
20160ex1 2520p1 2240d1 100800eg1 |
Quadratic twists by: -4 8 -3 5 |