Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760be |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
111526502400 = 213 · 38 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127443,17511442] |
[a1,a2,a3,a4,a6] |
Generators |
[209:72:1] [-169:5850:1] |
Generators of the group modulo torsion |
j |
76662714770641/37350 |
j-invariant |
L |
9.2432775288095 |
L(r)(E,1)/r! |
Ω |
0.86230924707007 |
Real period |
R |
1.3399017754098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7470c2 19920p2 |
Quadratic twists by: -4 -3 |