Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872o |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-13343865028639488 = -1 · 28 · 37 · 7 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -1 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3527,-5555989] |
[a1,a2,a3,a4,a6] |
Generators |
[179:918:1] [935:28566:1] |
Generators of the group modulo torsion |
j |
128000/352107 |
j-invariant |
L |
13.280580968759 |
L(r)(E,1)/r! |
Ω |
0.18458285087248 |
Real period |
R |
0.6424032093888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3864c1 |
Quadratic twists by: -23 |