Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
103428u |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2369664 |
Modular degree for the optimal curve |
Δ |
-2712753489281981184 = -1 · 28 · 317 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 3 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2466048,1492668164] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
1.5328004222686 |
L(r)(E,1)/r! |
Ω |
0.25546672171673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34476b1 612d1 |
Quadratic twists by: -3 13 |