Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094u |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
2.9394418116055E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4987098,-3400410348] |
[a1,a2,a3,a4,a6] |
Generators |
[-706618437:17485172445:704969] |
Generators of the group modulo torsion |
j |
10621450496611513/2276047011744 |
j-invariant |
L |
5.3331238709112 |
L(r)(E,1)/r! |
Ω |
0.10256154356821 |
Real period |
R |
12.999813783384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698bq1 4554bf1 |
Quadratic twists by: -3 -11 |