Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160by |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
391910400 = 210 · 37 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-376] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:25:1] |
Generators of the group modulo torsion |
j |
1048576/525 |
j-invariant |
L |
5.1846173502242 |
L(r)(E,1)/r! |
Ω |
1.3511716807734 |
Real period |
R |
1.9185635045491 |
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 |
20160fd1 1260e1 6720b1 100800fb1 |
Quadratic twists by: -4 8 -3 5 |