Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352de |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-8032324608 = -1 · 210 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,288,-3880] |
[a1,a2,a3,a4,a6] |
Generators |
[17:77:1] |
Generators of the group modulo torsion |
j |
95551488/290521 |
j-invariant |
L |
4.0207544274068 |
L(r)(E,1)/r! |
Ω |
0.67216382142024 |
Real period |
R |
0.74772590759741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352f1 11088be1 44352dh1 |
Quadratic twists by: -4 8 -3 |