Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520eh |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
432967680 = 212 · 36 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6948,-222912] |
[a1,a2,a3,a4,a6] |
Generators |
[102:360:1] |
Generators of the group modulo torsion |
j |
12422690496/145 |
j-invariant |
L |
6.0096709367438 |
L(r)(E,1)/r! |
Ω |
0.5229195832471 |
Real period |
R |
2.8731334280075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520em2 41760bm1 9280p2 |
Quadratic twists by: -4 8 -3 |