Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49588c |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
182448 |
Modular degree for the optimal curve |
Δ |
18295356927232 = 28 · 710 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11+ 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-262509,-51855553] |
[a1,a2,a3,a4,a6] |
Generators |
[-35282354932872526:365408531250785:118870510293809] |
Generators of the group modulo torsion |
j |
27665440768/253 |
j-invariant |
L |
5.3053301390429 |
L(r)(E,1)/r! |
Ω |
0.21091798114249 |
Real period |
R |
25.153522285322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49588a1 |
Quadratic twists by: -7 |