Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50336i |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
12181312 = 26 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ -3 -2 -4 11- 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121,484] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:22:1] [0:22:1] |
Generators of the group modulo torsion |
j |
209088/13 |
j-invariant |
L |
4.5203464714854 |
L(r)(E,1)/r! |
Ω |
2.2165072911976 |
Real period |
R |
0.33990011292667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336u1 100672by1 50336bc1 |
Quadratic twists by: -4 8 -11 |