Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040b |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-11219040000 = -1 · 28 · 33 · 54 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,244,4800] |
[a1,a2,a3,a4,a6] |
Generators |
[13:100:1] |
Generators of the group modulo torsion |
j |
6249886256/43824375 |
j-invariant |
L |
3.4511597313743 |
L(r)(E,1)/r! |
Ω |
0.9284544386768 |
Real period |
R |
1.8585509368957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520i1 |
Quadratic twists by: -4 |