Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574b |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-5892825700608 = -1 · 28 · 3 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1494,115284] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-402:1] |
Generators of the group modulo torsion |
j |
48013/768 |
j-invariant |
L |
2.9417346826988 |
L(r)(E,1)/r! |
Ω |
0.56316253836307 |
Real period |
R |
0.43529982943139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fi1 35574x1 35574bo1 |
Quadratic twists by: -3 -7 -11 |