Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bf |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
18104320000000 = 220 · 57 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7075,-102750] |
[a1,a2,a3,a4,a6] |
Generators |
[27940:572475:64] |
Generators of the group modulo torsion |
j |
611960049/282880 |
j-invariant |
L |
7.9837666628546 |
L(r)(E,1)/r! |
Ω |
0.54413059694838 |
Real period |
R |
7.3362596268453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050e1 17680g1 |
Quadratic twists by: -4 5 |