Atkin-Lehner |
2+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21824j |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1352040448 = -1 · 215 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -4 -5 11- 0 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,1759] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:11:1] [19:-88:1] |
Generators of the group modulo torsion |
j |
-941192/41261 |
j-invariant |
L |
3.6104976469173 |
L(r)(E,1)/r! |
Ω |
1.2646948150097 |
Real period |
R |
0.23790308961415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21824f1 10912d1 |
Quadratic twists by: -4 8 |