Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094bh |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
79071417869994 = 2 · 36 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12546,334098] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:719:1] [-69:966:1] |
Generators of the group modulo torsion |
j |
169112377/61226 |
j-invariant |
L |
5.0508295490628 |
L(r)(E,1)/r! |
Ω |
0.55872921928544 |
Real period |
R |
1.1299815220698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5566f1 4554be1 |
Quadratic twists by: -3 -11 |