Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428bb |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
2895479825994304848 = 24 · 310 · 139 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-421824,-66461447] |
[a1,a2,a3,a4,a6] |
j |
67108864/23409 |
j-invariant |
L |
2.3122721631335 |
L(r)(E,1)/r! |
Ω |
0.19268934606109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34476u1 103428be1 |
Quadratic twists by: -3 13 |