Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bv |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
3849784848 = 24 · 38 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-509,3381] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:84:1] |
Generators of the group modulo torsion |
j |
19968681097/5280912 |
j-invariant |
L |
12.111354005202 |
L(r)(E,1)/r! |
Ω |
1.3044737547702 |
Real period |
R |
1.1605593789171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926o1 |
Quadratic twists by: -3 |