Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476r |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2140293109968 = 24 · 36 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33817,-2403868] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:255:8] |
Generators of the group modulo torsion |
j |
121672308342784/60886809 |
j-invariant |
L |
7.8975255570791 |
L(r)(E,1)/r! |
Ω |
0.35206897745687 |
Real period |
R |
1.8693130377758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428bc1 34476t1 |
Quadratic twists by: -3 13 |