Atkin-Lehner |
3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
3399a |
Isogeny class |
Conductor |
3399 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
3150873 = 33 · 11 · 1032 |
Discriminant |
Eigenvalues |
1 3- 0 -2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41,47] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:13:1] |
Generators of the group modulo torsion |
j |
7357983625/3150873 |
j-invariant |
L |
4.7021450516604 |
L(r)(E,1)/r! |
Ω |
2.2774198895257 |
Real period |
R |
1.3764538468251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54384h1 10197e1 84975c1 37389b1 |
Quadratic twists by: -4 -3 5 -11 |