Atkin-Lehner |
3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
201a |
Isogeny class |
Conductor |
201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12 |
Modular degree for the optimal curve |
Δ |
-603 = -1 · 32 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 0 0 -6 4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
512000/603 |
j-invariant |
L |
0.73111995677637 |
L(r)(E,1)/r! |
Ω |
3.4396827280436 |
Real period |
R |
0.10627723755095 |
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 |
3216i1 12864r1 603d1 5025g1 |
Quadratic twists by: -4 8 -3 5 |