Atkin-Lehner |
2- 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
59640o |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-5824218750000 = -1 · 24 · 3 · 512 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4711,-171790] |
[a1,a2,a3,a4,a6] |
j |
-722828430874624/364013671875 |
j-invariant |
L |
4.5026481058349 |
L(r)(E,1)/r! |
Ω |
0.28141550660502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280b1 |
Quadratic twists by: -4 |