Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720de |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
798474240000 = 217 · 33 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2412,15184] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:240:1] |
Generators of the group modulo torsion |
j |
438512454/225625 |
j-invariant |
L |
5.8744285191684 |
L(r)(E,1)/r! |
Ω |
0.78868698146457 |
Real period |
R |
0.46552281333281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720m2 13680c2 54720cv2 |
Quadratic twists by: -4 8 -3 |