Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472d |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4954680805130042112 = -1 · 28 · 39 · 710 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,350001,-71535042] |
[a1,a2,a3,a4,a6] |
j |
941023155029904/983296341769 |
j-invariant |
L |
2.1080163672801 |
L(r)(E,1)/r! |
Ω |
0.13175102291677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736c2 59472b2 |
Quadratic twists by: -4 -3 |