Atkin-Lehner |
2+ 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310a |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
3315932100 = 22 · 33 · 52 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-405,-1375] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:28:1] [-10:45:1] |
Generators of the group modulo torsion |
j |
272475880587/122812300 |
j-invariant |
L |
6.5057841918515 |
L(r)(E,1)/r! |
Ω |
1.1100561476423 |
Real period |
R |
0.7325962976814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bq1 |
Quadratic twists by: -3 |