Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094l |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
6427260576 = 25 · 38 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11+ -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-468,688] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:59:1] |
Generators of the group modulo torsion |
j |
11697083/6624 |
j-invariant |
L |
5.1759738667992 |
L(r)(E,1)/r! |
Ω |
1.1510140058579 |
Real period |
R |
1.1242204353118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698w1 50094bu1 |
Quadratic twists by: -3 -11 |