Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472n |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1145961686016 = 210 · 38 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9939,377890] |
[a1,a2,a3,a4,a6] |
Generators |
[3:590:1] |
Generators of the group modulo torsion |
j |
145453541188/1535121 |
j-invariant |
L |
6.1049288091463 |
L(r)(E,1)/r! |
Ω |
0.87198294019151 |
Real period |
R |
1.7503005298633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29736t2 19824f2 |
Quadratic twists by: -4 -3 |