Atkin-Lehner |
5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
50215a |
Isogeny class |
Conductor |
50215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-88958935615 = -1 · 5 · 118 · 83 |
Discriminant |
Eigenvalues |
1 2 5- 4 11- 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,603,13424] |
[a1,a2,a3,a4,a6] |
Generators |
[-1582156380:70482488558:638277381] |
Generators of the group modulo torsion |
j |
13651919/50215 |
j-invariant |
L |
13.093119456738 |
L(r)(E,1)/r! |
Ω |
0.76360803225818 |
Real period |
R |
17.146387811041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4565b1 |
Quadratic twists by: -11 |