Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950bb |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-2593937500 = -1 · 22 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,324,998] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-83:1] |
Generators of the group modulo torsion |
j |
704969/484 |
j-invariant |
L |
2.6813653488637 |
L(r)(E,1)/r! |
Ω |
0.91012632940273 |
Real period |
R |
0.73653658350466 |
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 |
1078l1 26950x1 |
Quadratic twists by: 5 -7 |