Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440f |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-269280000 = -1 · 28 · 32 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,837] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] [-1:30:1] |
Generators of the group modulo torsion |
j |
-120472576/1051875 |
j-invariant |
L |
6.2541039481856 |
L(r)(E,1)/r! |
Ω |
1.4903005561692 |
Real period |
R |
0.13114183415672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880x1 67320bj1 112200ci1 |
Quadratic twists by: -4 -3 5 |