Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104468w |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
11239085312 = 28 · 72 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 0 0 7- 1 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-560,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[44:246:1] |
Generators of the group modulo torsion |
j |
1548288000/895973 |
j-invariant |
L |
5.7480740305525 |
L(r)(E,1)/r! |
Ω |
1.0772376547304 |
Real period |
R |
0.59288206794928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468a1 |
Quadratic twists by: -7 |