Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520x |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1766594914560 = 28 · 312 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5300,132288] |
[a1,a2,a3,a4,a6] |
j |
64326999643216/6900761385 |
j-invariant |
L |
4.8713870144651 |
L(r)(E,1)/r! |
Ω |
0.81189783574236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040h1 |
Quadratic twists by: -4 |