Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50337m |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
12072876417 = 38 · 72 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -6 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1265,16800] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:179:1] |
Generators of the group modulo torsion |
j |
306863943625/16560873 |
j-invariant |
L |
2.7654081890578 |
L(r)(E,1)/r! |
Ω |
1.2510200540213 |
Real period |
R |
1.1052613346143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779g1 |
Quadratic twists by: -3 |