Atkin-Lehner |
2+ 3+ 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318c |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
67535424 = 26 · 33 · 112 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21981,-1263555] |
[a1,a2,a3,a4,a6] |
Generators |
[203:1539:1] |
Generators of the group modulo torsion |
j |
1174618730890327897/67535424 |
j-invariant |
L |
2.2217670784239 |
L(r)(E,1)/r! |
Ω |
0.39208941856461 |
Real period |
R |
5.6664805863865 |
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 |
63954bf1 |
Quadratic twists by: -3 |