Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bs |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
232835088384000000 = 221 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-635052,-193399504] |
[a1,a2,a3,a4,a6] |
Generators |
[-488:540:1] |
Generators of the group modulo torsion |
j |
148212258825961/1218375000 |
j-invariant |
L |
7.0781529130544 |
L(r)(E,1)/r! |
Ω |
0.16920475462407 |
Real period |
R |
1.7429949808442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ez2 1710o2 18240c2 |
Quadratic twists by: -4 8 -3 |