Atkin-Lehner |
2- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11024i |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9441663211175936 = -1 · 215 · 13 · 536 |
Discriminant |
Eigenvalues |
2- -1 -3 1 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7488,4665856] |
[a1,a2,a3,a4,a6] |
Generators |
[9530:297754:125] |
Generators of the group modulo torsion |
j |
11334523606847/2305093557416 |
j-invariant |
L |
2.7933282180149 |
L(r)(E,1)/r! |
Ω |
0.31638460379853 |
Real period |
R |
2.2072251497687 |
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 |
1378d2 44096n2 99216bs2 |
Quadratic twists by: -4 8 -3 |