Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560n |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
42554007936000 = 210 · 33 · 53 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60552040,-181380091612] |
[a1,a2,a3,a4,a6] |
Generators |
[13463:1201578:1] |
Generators of the group modulo torsion |
j |
23977842325431771385038244/41556648375 |
j-invariant |
L |
8.8292708152269 |
L(r)(E,1)/r! |
Ω |
0.05412119275872 |
Real period |
R |
9.0632711574675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280h4 |
Quadratic twists by: -4 |