Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ca |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-56814018969600 = -1 · 214 · 314 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,-362576] |
[a1,a2,a3,a4,a6] |
Generators |
[818:23400:1] |
Generators of the group modulo torsion |
j |
3286064/4756725 |
j-invariant |
L |
8.0981898742172 |
L(r)(E,1)/r! |
Ω |
0.29170244959725 |
Real period |
R |
3.4702270582024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fu2 5220j2 27840bp2 |
Quadratic twists by: -4 8 -3 |