Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21216d |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
8561172439872 = 26 · 36 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 4 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5530,74236] |
[a1,a2,a3,a4,a6] |
Generators |
[84:442:1] |
Generators of the group modulo torsion |
j |
292279034436544/133768319373 |
j-invariant |
L |
3.8244290004015 |
L(r)(E,1)/r! |
Ω |
0.65787654046992 |
Real period |
R |
0.48444107229067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21216h1 42432ch2 63648u1 |
Quadratic twists by: -4 8 -3 |