Atkin-Lehner |
3- 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33201f |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-6720513219 = -1 · 37 · 73 · 172 · 31 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -4 7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,312,3325] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-77:1] |
Generators of the group modulo torsion |
j |
4607442944/9218811 |
j-invariant |
L |
3.7907432396168 |
L(r)(E,1)/r! |
Ω |
0.92040091355065 |
Real period |
R |
0.51482228882649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11067a1 |
Quadratic twists by: -3 |