Atkin-Lehner |
2+ 3- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760h |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
86204250000 = 24 · 36 · 56 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1380,-14247] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:75:1] |
Generators of the group modulo torsion |
j |
18178400056576/5387765625 |
j-invariant |
L |
9.4644872973312 |
L(r)(E,1)/r! |
Ω |
0.80113309639 |
Real period |
R |
0.16408161521999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520j1 |
Quadratic twists by: -4 |