Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720da |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
499046400000000 = 217 · 33 · 58 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48012,-3903984] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:380:1] |
Generators of the group modulo torsion |
j |
3458592648054/141015625 |
j-invariant |
L |
6.3659773841918 |
L(r)(E,1)/r! |
Ω |
0.32333526839189 |
Real period |
R |
1.2305295011072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720j2 13680a2 54720cr2 |
Quadratic twists by: -4 8 -3 |