Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3526d |
Isogeny class |
Conductor |
3526 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-14104 = -1 · 23 · 41 · 43 |
Discriminant |
Eigenvalues |
2- -2 -1 0 1 3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16,24] |
[a1,a2,a3,a4,a6] |
Generators |
[2:0:1] |
Generators of the group modulo torsion |
j |
-454756609/14104 |
j-invariant |
L |
3.5193135797337 |
L(r)(E,1)/r! |
Ω |
3.9440564223956 |
Real period |
R |
0.2974360407008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28208m1 112832q1 31734b1 88150h1 |
Quadratic twists by: -4 8 -3 5 |