Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136s |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43822617034752 = 215 · 34 · 234 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41864,-3295500] |
[a1,a2,a3,a4,a6] |
Generators |
[238:528:1] |
Generators of the group modulo torsion |
j |
1981053951902857/10698881112 |
j-invariant |
L |
8.4022817891938 |
L(r)(E,1)/r! |
Ω |
0.33387178604181 |
Real period |
R |
3.1457741189571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8142b4 |
Quadratic twists by: -4 |