Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450s |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-33062500 = -1 · 22 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -6 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12,281] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:131:8] |
Generators of the group modulo torsion |
j |
23/4 |
j-invariant |
L |
11.908146411782 |
L(r)(E,1)/r! |
Ω |
1.6003039123564 |
Real period |
R |
3.7205890455668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1058c1 26450t1 |
Quadratic twists by: 5 -23 |