Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520a |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-17677025280 = -1 · 217 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 -6 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1761,-28575] |
[a1,a2,a3,a4,a6] |
Generators |
[51:108:1] |
Generators of the group modulo torsion |
j |
-4610398322/134865 |
j-invariant |
L |
2.90862714882 |
L(r)(E,1)/r! |
Ω |
0.36784144190771 |
Real period |
R |
1.9768212723232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520cl1 4440d1 106560cm1 |
Quadratic twists by: -4 8 -3 |