Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bf |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-428087181312 = -1 · 218 · 32 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6848,-218112] |
[a1,a2,a3,a4,a6] |
Generators |
[224:3072:1] |
Generators of the group modulo torsion |
j |
-25282750375/304704 |
j-invariant |
L |
5.5145289365979 |
L(r)(E,1)/r! |
Ω |
0.26221749353052 |
Real period |
R |
2.6287953095636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762bk1 54096co1 |
Quadratic twists by: -4 -7 |