Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094bw |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
386846816108544 = 215 · 36 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18239,62439] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:570:1] [-37:-810:1] |
Generators of the group modulo torsion |
j |
691510653107/398688256 |
j-invariant |
L |
11.054758063604 |
L(r)(E,1)/r! |
Ω |
0.45501272968613 |
Real period |
R |
0.13497495469621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5566a1 50094m1 |
Quadratic twists by: -3 -11 |