Atkin-Lehner |
2+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
26560f |
Isogeny class |
Conductor |
26560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2124800 = -1 · 210 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -5 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,283] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:20:1] [3:8:1] |
Generators of the group modulo torsion |
j |
-67108864/2075 |
j-invariant |
L |
8.7579666766449 |
L(r)(E,1)/r! |
Ω |
2.5969381730467 |
Real period |
R |
0.84310504265592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26560s1 1660b1 |
Quadratic twists by: -4 8 |