Atkin-Lehner |
2- 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360u |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
13927680 = 28 · 33 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,117] |
[a1,a2,a3,a4,a6] |
j |
120472576/54405 |
j-invariant |
L |
4.0015462474036 |
L(r)(E,1)/r! |
Ω |
2.0007731234598 |
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 |
96720ba1 |
Quadratic twists by: -4 |