Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ea |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
499674849214464 = 218 · 38 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22476,724880] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:576:1] [-32:1188:1] |
Generators of the group modulo torsion |
j |
6570725617/2614689 |
j-invariant |
L |
8.1619239634099 |
L(r)(E,1)/r! |
Ω |
0.47543686490697 |
Real period |
R |
4.2918022170024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352cf2 11088bh2 14784br2 |
Quadratic twists by: -4 8 -3 |