Atkin-Lehner |
3+ 11+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72369d |
Isogeny class |
Conductor |
72369 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
589248 |
Modular degree for the optimal curve |
Δ |
7366524254900217 = 39 · 116 · 173 · 43 |
Discriminant |
Eigenvalues |
1 3+ -4 0 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106854,12821039] |
[a1,a2,a3,a4,a6] |
j |
6854993680279347/374258205299 |
j-invariant |
L |
1.2364162522407 |
L(r)(E,1)/r! |
Ω |
0.41213874252442 |
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 |
72369e1 |
Quadratic twists by: -3 |