Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560bi |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
147808817528400 = 24 · 37 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13291,71120] |
[a1,a2,a3,a4,a6] |
j |
16229658398623744/9238051095525 |
j-invariant |
L |
3.4808731106788 |
L(r)(E,1)/r! |
Ω |
0.4972675872398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280e1 114240gz1 85680bx1 |
Quadratic twists by: -4 8 -3 |