Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448m |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-409978699776 = -1 · 215 · 33 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 3 -7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-472,31216] |
[a1,a2,a3,a4,a6] |
Generators |
[60:464:1] |
Generators of the group modulo torsion |
j |
-2845178713/100092456 |
j-invariant |
L |
2.2847993856817 |
L(r)(E,1)/r! |
Ω |
0.78811852556218 |
Real period |
R |
0.24158796250982 |
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 |
3306f1 105792bv1 79344bh1 |
Quadratic twists by: -4 8 -3 |