Atkin-Lehner |
3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35547d |
Isogeny class |
Conductor |
35547 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-240482599947 = -1 · 35 · 176 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 4 2 3 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2986,68094] |
[a1,a2,a3,a4,a6] |
Generators |
[42:122:1] |
Generators of the group modulo torsion |
j |
-122023936/9963 |
j-invariant |
L |
3.6427645102094 |
L(r)(E,1)/r! |
Ω |
0.96894987815619 |
Real period |
R |
3.7594973613493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106641i1 123a1 |
Quadratic twists by: -3 17 |