Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094x |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-30416653605888 = -1 · 210 · 36 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11094,-519436] |
[a1,a2,a3,a4,a6] |
Generators |
[127:265:1] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
3.8165427438865 |
L(r)(E,1)/r! |
Ω |
0.23009727702152 |
Real period |
R |
4.1466622218018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5566i1 414d1 |
Quadratic twists by: -3 -11 |