Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536t |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12526371432824832 = 218 · 36 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214048,37805824] |
[a1,a2,a3,a4,a6] |
Generators |
[240:448:1] |
Generators of the group modulo torsion |
j |
264788619837198625/3058196150592 |
j-invariant |
L |
4.5465301892558 |
L(r)(E,1)/r! |
Ω |
0.40158832266533 |
Real period |
R |
2.8303426249303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442i2 78144cy2 58608bo2 |
Quadratic twists by: -4 8 -3 |