Atkin-Lehner |
2- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71440h |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-542944000 = -1 · 28 · 53 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 6 -3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128,-1252] |
[a1,a2,a3,a4,a6] |
Generators |
[26:114:1] |
Generators of the group modulo torsion |
j |
-905969664/2120875 |
j-invariant |
L |
3.6011816413072 |
L(r)(E,1)/r! |
Ω |
0.66278761098252 |
Real period |
R |
1.3583467695215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17860b1 |
Quadratic twists by: -4 |