Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094bg |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-219111156 = -1 · 22 · 39 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171,1161] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:21:1] [6:-21:1] |
Generators of the group modulo torsion |
j |
-6289657/2484 |
j-invariant |
L |
6.0310158948268 |
L(r)(E,1)/r! |
Ω |
1.6640400186647 |
Real period |
R |
0.4530401783594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698bm1 50094cn1 |
Quadratic twists by: -3 -11 |