Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488c |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-40899522032861184 = -1 · 215 · 39 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58081,-11102783] |
[a1,a2,a3,a4,a6] |
Generators |
[106827:329288:343] |
Generators of the group modulo torsion |
j |
-114709448/216513 |
j-invariant |
L |
4.9242150592089 |
L(r)(E,1)/r! |
Ω |
0.14479385465026 |
Real period |
R |
8.5021133164986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488co1 51744cf1 103488cw1 |
Quadratic twists by: -4 8 -7 |