Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26040q |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-86520499833600000 = -1 · 211 · 33 · 55 · 75 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 3 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94256,-18040800] |
[a1,a2,a3,a4,a6] |
Generators |
[141343039:2916668346:226981] |
Generators of the group modulo torsion |
j |
-45219461228325218/42246337809375 |
j-invariant |
L |
5.5887871347509 |
L(r)(E,1)/r! |
Ω |
0.13119769838104 |
Real period |
R |
14.199403403453 |
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 |
52080e1 78120p1 |
Quadratic twists by: -4 -3 |