Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
26910k |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-10201042800 = -1 · 24 · 38 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-360,5616] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-144:1] [-114:759:8] |
Generators of the group modulo torsion |
j |
-7088952961/13993200 |
j-invariant |
L |
5.1952627764583 |
L(r)(E,1)/r! |
Ω |
1.1463192153719 |
Real period |
R |
0.56651571250742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970q1 |
Quadratic twists by: -3 |