Atkin-Lehner |
2- 3+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39390j |
Isogeny class |
Conductor |
39390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
235520 |
Modular degree for the optimal curve |
Δ |
2199890534400000 = 216 · 34 · 55 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59936,-5202367] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:373:1] |
Generators of the group modulo torsion |
j |
23811537148031513089/2199890534400000 |
j-invariant |
L |
7.1638185482456 |
L(r)(E,1)/r! |
Ω |
0.30693018946435 |
Real period |
R |
1.4587638317577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118170m1 |
Quadratic twists by: -3 |