Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960y |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3721587930175897600 = -1 · 218 · 52 · 76 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88184,-92237580] |
[a1,a2,a3,a4,a6] |
Generators |
[653004:19373914:729] |
Generators of the group modulo torsion |
j |
157376536199/7722894400 |
j-invariant |
L |
4.2211508523544 |
L(r)(E,1)/r! |
Ω |
0.11919200995765 |
Real period |
R |
8.853678308388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370c4 1040g4 |
Quadratic twists by: -4 -7 |