Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846t |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
121483424305152 = 212 · 36 · 72 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42642,-3336876] |
[a1,a2,a3,a4,a6] |
j |
11762905557390625/166643929088 |
j-invariant |
L |
1.3300629297994 |
L(r)(E,1)/r! |
Ω |
0.33251573244964 |
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 |
3094i1 |
Quadratic twists by: -3 |