Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450ct |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-927257625000 = -1 · 23 · 35 · 56 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2288,-62808] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-1646:1] |
Generators of the group modulo torsion |
j |
-84778086457/59344488 |
j-invariant |
L |
13.891740678993 |
L(r)(E,1)/r! |
Ω |
0.33479114970979 |
Real period |
R |
0.46104168001073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3738a1 |
Quadratic twists by: 5 |